Question
![1 fourth x equals c x plus 2](data:image/png;base64,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)
In the given equation, c is a constant. The equation has no solution. What is the value of c ?
The correct answer is: 0.25
An equation has no solution when the coefficient of the unknown variable in the equation is 0. That means the variable have no contribution in the equation thus, the equation has no solution.
Explanations:
Step 1 of 2:
The given equation is— ![1 fourth x equals c x plus 2](data:image/png;base64,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)
![not stretchy rightwards double arrow open parentheses 1 fourth minus c close parentheses x equals 2](data:image/png;base64,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)
Step 2 of 2:
The equation has no solution only when ![open parentheses 1 fourth minus c close parentheses equals 0](data:image/png;base64,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)
![not stretchy rightwards double arrow c equals 1 fourth](data:image/png;base64,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)
Final Answer:
The value of c is—
= 0.25 when the equation has no solution.
A quadratic equation is ax² + bx + c = 0 with a 0.
Factoring, applying the quadratic formula, and completing the square are the three fundamental approaches to solving quadratic equations.
Factoring
A quadratic equation can be solved, By Factoring
1.) Place the equal sign with zero on the other side and all terms on the other side.
2.) Factor.
3.) Put a zero value for each factor.
4.) Each equation is to be solved.
5.) Check your work by including your solution in the original equation.
Related Questions to study
![](data:image/png;base64,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)
The scatterplot shows 11 data points, along with a line of best fit for the data. For how many of the data points does the line of best fit predict a y - value that is less than the actual y - value?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYkAAAExCAMAAAC+mq6XAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////f375yclK2traWlpXNzc97e3r29xXuEhL29vd7m3ubv74SEjHN7e87FzmtjY7W1tUJCQr29c71jOoRjOozvc6Xv5r1jEIRjEKXF5r0QWoQQWlJaUpSMlFJKUhlarRmcexmcMTGcrRkZrYQxGXPerRlr3nOcrRkp3oxa74wxlIwZ7xlrGVLe5lJK3qVjlFKc5lII3ghaWlLerRlK3lKcrRkI3hlKGb3vc4RjnO/evZRjY+/eEFpjYxAIEBAZEO9alO9aQu8ZQu8ZlO+cQu+clO9aa+8Za++ca70xWsXmrYQxWr1a70prGb0xlL0Z70pKGSExMc7Wzu+lve9Cve9zve8QvcVjY+/elO/eQu/ea6WUc4zvEIytEIzOEIyMEJzWrXu9c0IxOhkhISkpIe+l7+9C7+9z7+8Q78WUzpyUzgAAAL3vEL2tEL3OEL2MEMWUc4zvQoytQhkpY1LvWlLvEBDv5lJrjFKtWlKtEBCt5lIpjL0QKRnvWhnvEBDvrRlrjBmtWhmtEBCtrRkpjIQQKYxrzowQpYwpzhkQOozOQoyMQhkIY1LOWlLOEBDO5lJKjFKMWlKMEBCM5lIIjL0QCBnOWhnOEBDOrRlKjBmMWhmMEBCMrRkIjIQQCIxKzowQhIwIzpz3rZy9c8WU773vQkopY72tQlIpEJyU7+9rEO8pEO+tEL1rzr0Qpb0pzkoQOr3OQkoIY72MQlIIEO9KEO8IEO+MEL1Kzr0QhL0IznPv5lLve1Jr71LvMcVjpTHv5lJrrVKte1KtMTGt5lIprXOt5lIp770xKSlrWhnvexnvMTHvrXPO5lLOe1JrzlLOMcVjhDHO5lJKrVKMe1KMMTGM5lIIrXOM5lIpzr0xCClKWhnOexnOMTHOrb2UnHuUa87m7zEQEO//Ou//ve/W98695py9nMWUrYRae8W9pZyUrZy9ve/O3nNzWvfv3oylnHuUhHucjKWMnOb395StrZylnPfv9869xYx7e97O3ub//6WllPf3/5ycpQAAAHmRDTMAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAjd0lEQVR4Xu1d3XKyuteHpKHSMImco3eiXEN7+p6BZ170O9OZntSp7TwzLbV68F8rBERFZXVvHsXND4UQEWMW6ysfK06PHj169OjRo0ePHj169OjRo0ePEtKFt033uBykiJSjBLenPS4GJRLm+LqnxMUhVRg4ftCLp8vjPRw4m54lrgGRUNyz6R4XRKYjpmy6x0UxSHrZdB0Qg15dXwW+//Sy6SrgC9+melwUfsRdm+xxSaig19bXAfnQc0SPHgfweg/7OiB7XXElUOHKpnpcFqt51Iuna4CM5imz6R6XxOYxngqb7nFJiOk0HvctHpeHl8zjOL2zZz0uBz6bpulU9w3jlwbo6/k0nie9eLo0vChN0tksDez5ObgE5qFca8a/NUVrhbgk5LdSIvC+m3oUrDnzZP6weS14/o9NnYekFIJ921QXwAitHWJkEw3AGIESlNoVBP9Hf9pEF0ChRNC8EjISJUbN+3AzwthR2alxpi1RwrnbECjxdW9TDTAgGN2dosQH5Y9ReGJBkU7NeUKKjU2dh9spSowIz/mAcC0bESjxQdETC5tqgE6NvSZJp+aPY8ZZc8uUwhOU55yiUy6PBYUShMeRk2wnwqgrSu12ihJ/2tETkrHMJs/DY801NsUeypZdogQjUGJF0BMLip4g8QShEFfBE/LtyaYg/e3nf1X5Cusn8/IjgqInBs2lk0uTTgSeIHS8X4WecL1B2cQqF8vAlMkXgQAz31VCiD9v+Ydt8cRda3qiYzyRqSgsH3utHB56jgq58x0yR03gbQdiZhRKEKxY8LHb0RMU2+k6fOw1C1/ylNQT+LMRk18hCKzxxGGhj7NOc0KRpNMV8ERGKcRVUMIZhe95QkUB/FktXpY4jGM5URqJMEryFliSFUu4drEh8MRiq9POglK71zEU/k8hnfwQKCGj6ElrqPxBuIjG8AmfKdDc3nvAXryGeBeBTTUAGz01vvFT4D/Y5HkIZhMNoPevbc6n/x7cUUEJngA/yyj0JqjDg5BFEagIltw7TwMtwnCgtRA77zKJW5ktRBKV5/ajfFfJyjd4haEWyzxpcorb5B+b/O3XQnPj/ez8VcmDt9DJuHpevstk/o08CwpcpM2mL8IjLLTWUc4TegyUAJ5YRWyMFOGzJ0eqezUInnw4KHybF+x8e8yzbRI2Pdim8ao8Ub8Fg+3n6r6aLlLbbSh4mTaFKRLbgmwPelCcV7fiB+zBbpPA5tgM1bRP7N9EFoS24Qdnv4PGFi8C9YSOPIEqomCZr1dzaARCu5PDv2yiAeSGoCcGndMTDKtasi8XKt9FC3bNkm9nPRbGdvKEdTcYoVuL1Bbbmj9BIPFV2E7v+hH+nhskvsMjDj6FdJ7Cj4zrIdhRAxBZ9nGh+BOUniK2uFxbrPzKr7mK/on1faAx+ICcgWjiATf/9Zvxkb8GecU44/aRbcuf+GyptaMBT7hBKvLH4Boo4XreA9hsrg/+NfxVP1dVxVHadijAiFDYFaHdadOSdDrvN0uRmj8Nj+MV9RRJ/9zTRuKJ5iI6o/VjN6fE9jl/+mS85nsySKMi+xp4ojEoGntFUJaLttudlI7ncVnnJeQqLmeEuJ2abj5qp6eIZjt9UHgiL4QU0/k8PpiHI0U83t7sdvuxm1NivWltbEdeYBXF6XMa743platUb32TdbekE6GwBI1N0xMk2yln4qdxGqf7lJBsqyMQnaLEiDBKgOTZtdR7WvDE2xKk03RXOsngOazeye2WdCK0YFAosSCNsqHwhC2EioApdlgC/Ihot9mkUzxB6p9objtJTrGdCP0TbtlJ4t2N7qrfc4MZNnFWIDtlO7WksWl9dl+E0fUVA273F/iujkB0iico/XAEK9ZlIwJPEEZjHvWxWYKdwzvomJ4geGsUnli01hZbXwj+uKOsc3SKJ9qSTl8kH5tgO9UzMU+LxuUKbtefoNlObfkTdYX4Sh7rerw6RYkRod3JOlVN4H611Ra7OqxdcOhq5892TE8QCkuyndqaU1TDEzw9EvW2WzxBKCyBJ1qcU3RQYJ7M6m2vq+izawxGaO1ozZ8g6Yn9An8m6TEj+GY1NmFildz8pTlFks+SoU3v43z/3jWhPX/CDsttABpP7BbYn52IjN4pSpD6sQlUa2uUza7tdIojOqcnWhrv9Hf8CbCajhOiYzMeSbZTcz0B/kRLPnaldk9zBKBb/kRLI8/+hu20Ac96bdO16JZ0IlCCoCda8ye2st9d1HvWW3TMdiIUlqIneEvjnbJymLQf1jT67aJLlIBn16YaQDTX7rKtUTbFc+7y5CwhuqWx22p3otlO5+q0Ams7qTA+X/Iuaew1hRKEWcBuW3E7rD/hh+n5gq+71Y9NkE6kUTat+dhYCJWkTayHTlmxLfkTtJhnBEpIVFZ+GDd5KDrmYxPGOxH0xLq1WDYgnVQT0YS4MkpkjvTsVD9zhBryVDkMgjTeiRTfqZ3xTmA7eeGsWaGlOOmB/32434yZOUSKscBHQthzREvtTm5rtlOgw8bLA1ybnuDCX9+NPYwYkfGQOy/LARztn6fMJ63tzD8Cmj9BGHmmm6/TcHX+BIboUNp3hsm9I8fC+RoDNcq5pxTpRKBEW+1OjczXAtdGiSDxXSU8Wc7HhqP7Eb4Yg5+kJwj92Jwy97S5nvCTmNBQdm2UUNEs+OKOjJANRMTLuB2OlBnbZK50ZY7iuE2USThgDGV7vs0s93tn4E9kJm3flWQlK3+hnsC8s8jAfE3gn5g7NADoCXPp9m2r5FLgCY6Q80yUCBO3A8wajNvhsYCNJywIgtEIXwHu4Q2bzSkycc+CUOMRTlcmE/arMj0KikzYQSKKVn/y25ivFFs1nSchT0SaDfBL+FW8JRxwh5ebl02zVRKHoWb5t0ze/+Wf5hfkCZOG/GDEwgj+HCTwckwEBGu5Dahg+JVECngCpFMwHtm4HcqRQz7UwucGm+3h/4vUa55pP/InS3vta34NHMyZ+RxOTAIz4SiE/VYDMD0yx9fil4qfxH1eGMSrSNPAn1QKfO4nInNtfhXeZ7M7qv9v42EpkC2Cdz2BgiwjpTGOBEse0LXIPjZO5gLA8DQHF/h5bVIgtTKTCXn5AXxsTLjZ2lyylnAtpOAU8mCPiQzvBjdjI/vt4zC/i/dF2wnuhF/ABRDwnnie/64pDAIdOgY+ArMFzuC1Bslah0zCV+HaO3OVyYL7wA0vChNpS+rlyweOpp7o7A8c5eAXMc9IthNpnl0TqSG1MV8pWvjKNLaJPqcmw/U3KDsVMecb3ng0aGlsR/avz8f2IrOgEqUt6er8CV8EjMEj6n6B1kUzn8MxsCKzpYiMxLgd53kCCAGsDbVLKcS1UQL+KRuannefcfOkKlYuUd6SdPq343YgIUyRKc95x9piCf0TBEpkd6Pm6vG8dPKieGUpS2iavz6eOAUKT1AqgaYnzvCEN5kG9nZy1byhrGNjO9rhCeJozNM8ocbpquQwwrCG2+UJiu30L/YUVUQT8kTzAndMTxAK215b7ClKACEK0YSgNM13iRJrStwOQiVktPnYJ6STCuPq4m0U2Z91a1xsO/3YxPFOBU8cUu9Bp6J6p277E6fQknRab+7olJA+L9fFsPB0nPsRBVyCnsi6FfOMQAmKdNqQogoZ6QQmUpruBkF5iaY2zGUB2hqPneKJtqxYUrxYpISn54C46hE+RfFgj6CUVdSuKTbmeZCkE4FqpLbYT5RO/uNzOkufK7GzpH4ODu5CimZ9q5SgtcVSpBNS4jWNMZ4cdqLk8HQ6OGAsiu3UqdiY2QfFFKFIJ1K7E9aYCufz6XS+LMbTepOKQ7cFSU8QGpovDorGpo1QprY7rf0E1EQZYxSsJlFzC5I/cbtWbHM98ZvWjrUfrMo5LZ5IDzlCei7JbOgWJQgMTNATxHixBz42csT+DeRQaMEJ9lC34ju1J53IPFEBKGs7RrGC73QKOv1ESIJ93K50IlAi+0ejMWUNR6C/EafT+ekZ2Dvo++wAxBjKuzyB6xbsuNoG3jieoqFLGInfKUp8EApLWK4dKPxrnkCOqJka5oXz5/R5/tjcR+gWT4zaaYslSqcqT7giruEIIBBL53EcN5zFYnCzeoLSj82Y29ih2JmPXS+aEDJ4TGeCYDv1/diIu19GeJdHOALhej9eRgiBd8PtTgTp9MsxgG915msBc0dC7d6u7UTxJ343ogCU9VGOyEHps+uUP5G15E/IX62P/a4rTbH1INVut/onCMOHSHriFzzhTXb7rGtBaYu9WT1BsWJ/EX0OlHVd6+sujsQVr8XVzcc+ibbGitN9bDl6LPsmTuBWeYIW36l5JUjaeKdvJMQ5ZW2A84Sa4objihOoRuMJkE4s3V+brh6d9yckVox8c808Crldxp7kT7Q2p8hzgrSyIuAJUHyEK7Ri1+9KKRdHdg3fXCDEN+eWFu31Y5M0tl+7kkcduj3eyf0OBq8SRGzgfSwVyHDhsWJ1JUpPEcV2Is3uWkQNOYL2nF9fn91wwiTICj95dbxx4PgRd360HUlEihbRkp6Qk+fDpWSPgRCy4ur0xHdkzHS5Gj85ThRJEXpglo/fzYdt6Ym75npCjtKa1Z6OgDbe6cr8iUHo+74EDxatRDH2zcx4E7cj1xNQZWdfZvBSLqJB6Wdnt3y1TZPaZuKGMMcyQwZ7q5fiBHlQavA2U+XtWZ7O9cTBXes3oyfMtVB8m3VJeNHYDyIt3yJsSsC4HdjaucEQQ77/rQMFdGqEey3Mtd/m7AyEGNZdd2/fJZS/SuOI27PXe39okwXyu2z3UfMCw7V7ZWhkJ7cGPxQPb19J8DDB1rVgHIwjeET4o3LeF+xrohn7YGz0gS9I4X5kznffjLGvSNtLzQ6Pxadl0p6whdb4le3H+Y4F4WMCv5ifmpwwjbQWeXr0kV+K6Z2vmUOejPSmTOfH4nQ/zRah/sR08f7Y6Rv8++AJiPe1Dj1tpFPka4wqxJInJ/M8L2Cw+4G3OdgEokji0abB9qqeVhJFapsRBMrznjC1zfM8nszn83Rk8+GTJzGPlAqG+3fID2b/k98GAec/elR8mmfbLxhU0wiNfw5Q3OAH/vgFoUIBwj2IvA/Q1A6IpgD1Y4DKAtCWj803NVHw16M0BlSc6dFj9ONIQlzxLo8Vl5Feoy/h+jPfkWHgYCxAE1YF0ZLttK6NUaBCXOg9nRVh/4AyCVBld0TBaWRdngXs65W/CRT8CeEHK1API+Gjh2fQUmzM+rEdKpym8TQtBspkm3SMSQolSEN9rs6zu2d8iP/Vs7Gm4Fj+d0qrOOVxrG13kiyeT+fTos2VWz9ib7zTSVD8iY6N7SBQ4p/32XkiSYEPchXCE+vQ0XiCoKw6RQlSfKfmlJCbeh9b8hHLOSLbLiBB4gnC3NPb5QlSn9258U4gmop6ovEEoRA3yxMUjX2mf0JuKsPvf7MmSxN0bNQ+QexS9MSZ8U4sKTmCJp2cwa3qCYo/QVCWp9cpyu4eq9MgKNJJEqzYjumJS4x32luakcQTlNq9WZ6g9NmdWH8i28x2+yMoPEHpx+7Y/AmKZ0fgCdM/UY9d0QSg8QShEN3iiXY09ok1Hnmyv24BTU80r92O6QlCYUm207F+7GF4MHvU+2zOE26X+7FP4oPyx5rzz9G1u3j6eFA9ND3RvMDd8ico8+woPvaiXk/wZHZ4E8o6RTcb34k0f4IgndyvTV1bLD8UTQAKT1Ce86xTY8VJ450oeqJOOvHksa5uKGsBO4Nb1ROkseLNJRnoiUOe8JNZrR9J659oTomOxTxrS08c8oQ6tiJg708ASGsBU/TE4bhYPzy2xDvJn7jd/ol2KJFt9v0JFaYfNrkPGk/caFtsW3OKnNGej63C2I4mOQStf6K5OO3nFCH2xoqXK3nUgSKdSM/5zUonyljx3XYnFT2jaHrKV8DdB01PNG/Gv90+u1/bTgo4Ak79wyDJBjQ9QTD2OkUJUnyn5lRzv9hWGD2FRjR50Xz+PK9RFySeINRut2ynluI7OXzb7qR0XvvfMwxZVh0Va0HjiZv1sQmFJegJuR0X60dpHsXXT5/jdBrrg+nvFJ6gtMX2sWwQi8J2QvM1b/jwJiCdptPDCNUUnujjOyEI42JL2+m+sqQKBkmum/9Oo0TzAnfMxybwBEVP3OUaG0RT5UsqGNixmDsg+RMUxuwSJUjtTpSYZyyfeBymDSwCmo/dXDrdbrsTWU+ocdokkMp/0XYq7JniCM8u4Y9RpBOuyfIWxY2+QfOxm9fuNdpOrsI4Ha76ViimpfLNEdGS7eR+skwu03KNTMVPzMCl8QRBRF4hJXwzR5wLLv68uM4rHMtVmQmFJbWK3ymdr6MMcEdJnOqjD35bPvYVSicp0IJ5Crmrxgx8XiZVZD2vlijh8CB6LIP6fSVxPI9FzWxUA++LwBMrAhNfHSXktw65I4PwyXFC7QThPdDGrt7f0hqPDkun25U8wvk8ns6TYsrpPkzMs4aQguDoX13/xCv/BFaQdmb8/dLE7Uh+zGdf7bQ7eVF13YJwngJTHOs8pfkTXbad1ML7jrjzNllC3QQRm2gQE5sEGAT0KUon2WiD7wLVskrOsS3DeKOmeQmDoMCP6DSdpXEEv+iuMQ5KdcucNVLiIL9+y0ztVnOOb6CxgfbZ2t2WuYFJ3SY4Bw8LpFNk4naERdyOe0cxEURREAxWQb7By6TtqUnkOWY3ttdWLoDT/JVveU4gknQWDeCIp3DUs/R5nkaivLy4HjY4F5OlzTc/iNn5Z2UaPzKfm0KYz8pr9tKVLQij7fdwu/CqaizSTKcR96JcOvHIxO2YeWjN3osBITRMHsvmHBSL51A1fBtHRt0zMeA/e4FlStyJ0U58m5OIVpRYNnvX5jGtLoXvPws+SLQvB9j4piNvFf6AR4dBPAAbgiht2JfxLmbC5V87Ta7rl63WOIBcgNxqCkLvqTN4tYkSx8y3vwTXBJxz7hLlyLFwWOiDCSLyz/790ZigI8CPIMQ8cygamxTb7/r8CSdIxQvYM8Jj+t7xhPaYCZgB+N0YQJcHAa9/yl9yq+l362M3QLfHAAIB/oAwUh88QALc/+Gjoh4pMx7LfmyXpfN5WlvXDzrGdZRdWpTS5p4dpS3p+vwJR0rXxYqRKldZbtnsRPOxC6dKJfHsOd6fpIWQyzQPDk6KoUwZK95x6XQcpLgdlhLrr3ieAlccyglPp3m4fGIM5bbanbo0f+I3cTuyu3Qap2Cq5qdb4LoFlhVoa7IQ2p1utc/udy2AKp0/x/Nk30bEhegsJxD1BIEnCC2At9uPvX0cgyRN0/2F9eWqstrTL1YCaYZ+DCBg24/tKjbaf45RNNkkgL4+djNQnvOOxSj4lT8BWnt/1BIuRFcZU0biCUL/hNvHsgGcqgS5iqsL0blfLfGEe7uxbAiP2IlRNgeLldLW7qLoCULt3i5PHKXEwRqZJ+J2HKLXE4hfWbH7kIPn/RUBy3GxDUDqx6Z0pneJEhkpbsexNqpVHOV9sSVAT1yeJzoWt+OfjzyTQTw5qMr29MSN8gRJOtW7t3L0fDj+G/TEvpl7HDTbqXmBO2Y7/aLdaQduHUdQ252aU+J25xT90/FOcjWvmRGBazwSKPHRXDqRxorf7nzsQ0qA+VpHCNQT7Uinfp4d4nAZXrlKxZ7VlCNrSzq5hLWAnQuPqiEhI80C3ueJDMzXWo5w3LbanW425hmpBXC/EtyPaXRsHeXW+icoeuJ2pdOudl+PZjUBByxa87FXvZ6AStgZpu3W+REF3Lb8iZttd8o+fm3FsvTxRAXSpBNBs96snvi1FctOLlaatTXy7HbbnX5JCZfvRWnfx9EYyjX478wpOgFSzLNta0fG0qSsPemzg6hN7jX0Y691p8Y7/YonWLxd4t1bJmki9nX3kRjKtejbYhFneUKqcuhmYcpLlo63HCHmOJ1xnwVa44n/bGxMLwgjbYczFzyxs7K4SnDdxgNfu73xTjfKE+fidngaHvh5kld8PlYcOaLyDCuMnjWd7nXaXUWfXcf6sU8/YhzXKY3taFfDE2v2vGM1ST2fpvPqTFOD1vrsjg9rOECnrNhzsfYDpEP6nNcz+tguiKbduVjDJJ0+R3tPdWt9diTZf3WeHSpdoz89E77DcR5UuWb3GY3NZ6AD5mk+yR0fx0OHbq3ERBxUZa8navDCwpnG51iJQHB4VP1gJco5RacL64kpIMxravUJhKjqiONoTU90uR/b5X/uWail40VM+mMOtTtw/ZDnVuZZ22k1SwvfIbgblulzoM0povBEd31s+Q0GZpA8OAxMIDcUDs52fFhaFTs6N89O/qiiTgOdWCvqLGrXnziG/4o/YepxmHhrgTY/7AY4FXsRvplPz/FEFUHFsz4Hmu3UnBIOIYLKVfoTH5HzppENMEYBDur+wrgdMgPbSbqwHd3Blh8c9xVXjXXdtc2ubDWvuwXsG21ZBhq75qb1m1x9mkODVybFEFOVd3M+bQsYaUtGyBMmbgdQ4nN276hAi3AshBbmjYfiWKTzff56nD8W2XispE1ym8bXONw5zT/ezSlfk3FUJM27Jm2SJpFAgW0yP9SlTVIszbVljhaa0A/SDt6DAGTAGHlBjFmEEVQ2j8p54JxrAbs72MzLJuCYpzFhoedJKIb8c5uD11qY7+1A64XNxhvZV74rs82Bf3KmA/st81l+xf7FJgNSkcazItPsi2/mO/vG0wj/XAV1IVL/Ljh7R/2VR1BRYgxHFj6Yjz4bPiYqCjllgAsnXCs5oYYohRhcnAf24IPzIJVE28kB2ykIv50XoZtZsRY8CYfbmfEN0N5ozOaUuLbWDsnDCV+Aa+qFHyaUyk8k4Git12ZjxXmSwvUE9/boapt1+K/0Y3si0lEUwZ9lgR+gw/U68FmxVk2jEcrDRxMZYqcf+wzaittB8RGujic8pby84cnzlZFJkpfioIl08pN8jUwKJUjjnSitHTe7FnCDuB380a4ISIgrvt6QfOzmPEFZ9aBjYzvO1q4fFuHyCV0DLqkfmxDhvct64jTOSicgRHEJRTpt2uqfILQ7keKjXRyLM8yuSo6gUaK9eXbdbYs9jTNzT8F8tc3nAEIlEK1YAk8Qardb/din/Qk/SStzg67BdnIGtxrL5qSe2FtHmbB2F3G803/DnziNU56dCpOdfiSC7dTHxiTjhD/hh3tLvBOkk0uK20GwYm94PvZRLYxW064lSuEJUj92bzsBjuqJqvlqQRgw357t1PF1io7jWOReP5odeMkknmjNn2heiJsYA6ii7dKMJSjr2V1HvNhO8USteY5LvMMz/VYOsDGg8ER78WJvVU/U2k7AEdjxzSaRqM4WIlBCtudj32ocwLp2J6XTFVhNQRqn86QyQWpvPvZJkGynT4qeuFnpdFhYsJpQNKlw/pzGc9vfjSD42NldS3EAKfZQp2yn7ONA4qjQrFvgqBlO25pXhoZT3FuWr07eCP18bMSBnsCOIcMGKpnH6XRu171DEPTEVbTFdqzdaa+wKkpsCP21xqXPqk2AFD3B71qSTjfbj73XAmg9axe5wguSZLztnaDpibbGdrikWDadmo+985x74NCtnfcgTHBUjnyyc5EsKCJ6QdEThBbAm43vtOtjezodSUcG6Xwe18wdorTFthVXnCT7O6snpDatr9+gHtLng9mkpBbAFuee3qqeqMwpetFzs4AEx5V74zjKp7pUQLOd2uEJko/drVE25R97EGkewmz4PAWPLhb5YPIKKO1O7cXtuNV2p1I6eTrGtYIBD5N4Oo0fD+0Ogp5Yb9qKtU/on+iYP2EfMSniMlz+kwbzFRs89kAZ27Fprc+OUIhOUcKOdwKOqGjo7H5Y95QSKuEqYp51qy02H++EhDgWb3QLEk+0ZDtlFGXVPT2Rscr6Z8dBsZ0WLUWzvtm2WNvacd/I0qHwBGfNp9z2thMgazSnyIJQCbK9GAW32mdHoQRlxmN7YzuODEapwwElMvfCi8afAIUSlLEdra3dRYhmfehPKPZdLZZUnpM9qeYarU38+6v35+Ataex/Zjv5YRqulCyowRPh3JvgGRdB5sjMzdYu7oztBBnYIeHCZpLVdzXD2E5rTG03c8FOwiZRT8DR7JwMDsdesHkLkE4ulKj4sj1U0/YAPPFpblls9sO6k5wnqlkYTC9OQ80lXOmslR9FnG1nf/5tSB8DJ2xM+ASM6mATGHbh0yb5wuzza/IgDZiK8FqMwoAn5R3Kj+3RpO+EYPYS+9kXvPH+xRs/hOMG3h/LwFyGl+ffPniZO5mdKUSRbd41aZtjokVUsrmYxc/xPJ6FwvegJoBH9sPm/U3IbyjSEIuHEMIQZhev9rgLX4vya2dhKHEe5oYjEWAhTtx8aKrTQNcVuParQ6DE7rX+YJam03g6nydfRiR50cTUyYUArOlmGXCrC6XBdifIwIg7mO3iET5CXoZLIB8kDBwhL0PplAHPu3AZShy8HC80p/g1FFyYBtZ3FxitBH8FMsrL4HbmBwBre1cJEuqJ+Q5kZ/DKi1F8lB8xH/Ygx/Ac5xThES6DssBVWMj8FLPxND/A9SCdQDjhD+d3BcUwBUok+sPPm/yVietzHdjpszsDilPFFm312VEcoP0/xx/nqQ5swBbXHfIgunvxLmk7Sd/3c3vu/HzsLQgtgOu2RhT8s/FOIGC3kYWU0EqKcPN0OR9DfgegPwNTJgpPEDy71tbukoRRNoc+tqz2Q/qBj+T4tqeXgB/hc+WZaHQUf8In2BkqjxDSCHJ3SPppUAqBBtI1ww9Nd7XDZvBM/CGI3R7/MpY21KiaBUX/BAGEx/dfvxbNH0TTZt7ielJB/h7uk2WuohSOu2ymJ6TPcoPD402kgzRi4cHnDcSO/MH1LaTiB+u67EN+D4do57jKPyl2pKfyyOfKH5ro3R4U5DralnYxTAd54h55ohElMh6FCQ78UOCvLc9+I+MhqEEZBFycbX3yNuIP3JiJ1yAPXn4U8k74TMNzwAVnyxPPg7eKAmQape/gK3AOhdafzdXWXwNL7RDkLwxS0yC+E/ynQHkBjlXWUZaJ8NzDq8IUKmoUfbssrF0VdYsfLZBvsKaG4emi+CBUvTF3XkDNeZPDcXFbcKMI38OBI7UGky+SMsDwuNcGjqyAENjm0qhV/P0BZAL8PRXBV+93IkjUQLJlqBw5WQJN8AsnkNtvUJSxBzbn6UZRjpU5YQ6P8AFKTsgnb7mC/RADtbFI/Uzg7CkhtA3/LfyE8JwA/ARt2SbSaY2cLUPmfMIjCU/86e44yYfw/+HxBSLAM3mqAmQQKtSqUkdwNjrNbCqceFIoeMSBCJ9o9x2D0iB/1yNcIYCPOUdee4tOMdGl8DF+hb3Ky3Zm/YktVORDXcH/fwpP/6mfjeRQCa9AOWCMk7X7FoVMRIH7FiLB2OykMeB+zkIMgrzEsOg8PZykXEJpkE6uwNlQfvKHI2/I6PgSrZeDZGLEWJCvQHEmvlMJqaFiA/xT6jQlvODHWYRPzieynKeTU9c+JQPl6+RLRRq7Ss4E8vd1lArP0Rh4mB8EUKhATQw74tox/uNog+rwISrH1V0V7rlfGKPDE1xeBQ/gnzBkdBWeMnJAN3586UR4Ksyr4xQlFFaSG0Z+hDzxcVKrZv5SvTBghQHW8ElKPCFPOAFKJxDBw+QLCjK+Rp7Ywcupmirh+qYZiYfwp/zdUEN7kK+M8+VjID2khJrk7vwR+DO2djIdKR29OHIVntIpnphAOfTEYziz46QkM3rCZQk8ZJ+hb9p2vKRmdOl1oZlFAWYsUMMDaQvkOC3OEcMIHlsNppA6bZnKCLsHJsJdgALyopOVBcofJJgQ8glJDJapza+Bt4QrHO8RKLDS0hNQaD+PeNt1uDxKlkKDV8Ui319+2OyjUDodudjO6EPF2bxaZHw8Uhy8L08E38EZ+cFDpnxcmkosFdfD4/ab/Jgh27iBvvc18C+fYHdjs0fuypFxPZlojESecXZ+ebS1P9DY4u5/sNG7zTsGPuBfyGJPjJ2dlO2Dr4xNInLBTtreLyOxxIWxJPtiaJZgoa9eNjUEOBRFo1s5QuUE3MwxLVvuy/kH0X3LG8HWDW4smxXCzR0gQHFddiN06NGjR48ePXr06NGjR48ebcJx/gf992IqQzt0GwAAAABJRU5ErkJggg==)
The scatterplot shows 11 data points, along with a line of best fit for the data. For how many of the data points does the line of best fit predict a y - value that is less than the actual y - value?
The side length of square ABCD is twice the side length of square EFGH. If the area of square EFGH is 9 , what is the area of square ABCD ?
The side length of square ABCD is twice the side length of square EFGH. If the area of square EFGH is 9 , what is the area of square ABCD ?
, where
In the given expression, a is a constant. The expression is equivalent to x6, where x ≥ 0. What is the value of a ?
, where
In the given expression, a is a constant. The expression is equivalent to x6, where x ≥ 0. What is the value of a ?
![x squared minus 6 x plus 7 equals 0](data:image/png;base64,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)
What is the sum of the solutions to the equation above?
![x squared minus 6 x plus 7 equals 0](data:image/png;base64,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)
What is the sum of the solutions to the equation above?
![x squared minus 8 x plus y squared minus 10 y equals 40](data:image/png;base64,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)
In the xy-plane, the graph of the given equation is a circle. What is the radius of this circle?
![x squared minus 8 x plus y squared minus 10 y equals 40](data:image/png;base64,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)
In the xy-plane, the graph of the given equation is a circle. What is the radius of this circle?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARwAAADQCAYAAADVqd6bAAAgAElEQVR4nOydaXAc53nnf3OfGAwGg2uAweAkAAI8QPC+JB6iKJmyLDmWGW8cx8naXpdTZVc2mw+pZMtVm6O2Kqmk4vXKW7a19tqWaVkOdVOUxEMkQVDESRA3CBLA4JjB3APMfe0HVncAXiYoiuf8q1gSeqZ73n777ed9zv8jSafTGbLIIoss7gHkEonkfo8hiyyyeEwgvd8DyCKLLB4fZAVOFllkcc8gv/aA1+slGo2SyWRdO1lkkcWdQyKRoNPpMBgMCK6b6wTOP/3TPzE2NkZOTg4ymeyeDzKLe4dMJkMwGCSVSqHX61Eqlfd7SPcd6XSamZkZ8vPzUavVZH2cd4ZMJkMymWTNmjV85zvfQS6/KmquEzgul4tnn32WZ599Fo1Gc88HmsW9QyaT4eOPP8bn87F161aKioru95DuO+LxOP/0T//EF7/4RWpqarKb7h0ikUgwMDDAqVOnllhL1wkcAKVSiU6nywqcRxyZTAa1Wo1KpUKr1aLT6e73kO47FAoFCoVCnI+swLkzJBIJ1Gr1dcdvKHAENTKrTj7auNZPl33e1yM7J3eGm83bDQXOrZBMJkmlUshkMmQy2ZILC3YbgEwmQyrNBsGy+HTIZDKk02kWFhaIRqPk5eURCoVIpVLk5uaiUChu6zrC+Tk5OSiVyodakMTjcRYWFgiHw2i1WgwGg+gjWYxMJkM0GiUSiaBUKtHr9Z/qdzOZDKlUilAoRDKZxGg0LlsDXJbASafT+P1+BgcHUavVFBQUEIvFSCaTaDQaUqkUbrebnJwcKisrsyr6I4JoNIrL5cLr9aLRaLBYLNct3nA4zPT0NKFQiPz8fAoKCm6oUi8X6XSaubk5Wltb8fv9bN68mQ8//JBMJsNXv/pVCgoKbus6Y2NjnD17ls2bN7Nq1arrNsvbRTKZxOfz4XA4iMVi5ObmUlRUhF6vv2cbrMvl4tixY3R2dtLc3Mzzzz9PXl7eku9kMhlCoRAXLlzg0qVLrFq1inXr1n3q345EInR3dzMyMsKzzz5LaWnpsuZx2RqO3+/njTfeQCaTUV9fT2dnJ5OTk2zevJnc3Fz6+/tpbGzEZDJlBc4jgkAgwLFjxzh06BAqlYrvfve7PPnkk+ILlkgk6O7u5p//+Z9xOp1861vf4qmnnqK4uPhTaRKZTIZAIMCJEye4cuUKX/jCF7h06RLvvfceNpuNVCp129eqq6ujp6eH119/HbPZvOwXRUAikWB4eJgf/OAHXLhwgYMHD3Lw4EGqqqo+0yhfIpEgFoshl8vRaDSk02nsdjtlZWU3nIdUKsXIyAitra2UlZVRU1NzV8ah1+upr6+nt7eXd999ly9/+csYjcbbPn9ZIllQqXbs2MEf/dEf8cwzz1BfX09xcTHr1q3j4MGDvPDCC9hstodaZc1iKcxmM7t372bz5s04nU46OzvxeDzi53Nzc5w+fZrh4WGqq6vZv3//XYl4xWIxLl68SFtbGw0NDdTU1NDY2IjFYll2nphKpeLpp59mYWGBw4cPi6b/cqFWq9m4cSPr1q2jpKSEp556iqqqqts27e4EiUSCvr4+Dh06RFdXF1qtVtSqbga3201XVxfpdJoNGzaQk5PzqcchkUiQSCQYjUaam5vp6+vj9OnTy7rGsjQcqVRKaWkpZrMZrVZLJBJBKpUikUiQyWTk5OSwfv16QqEQmUyGubk5tFotCoWCSCRCIpFYYvPJZDKSySTpdBq1Wo1Wq0UqlZJKpYjH48TjcSQSiXiNLO4PJBIJqVQKg8GATqeju7ubTZs2kZ+fTyKRwOFw4PF4UCgUpNNpMpmMeE40GiUejwNXd0eFQkEikSASiZBOpwHQarXI5XKi0SiJREJcD7FYjIGBATKZDPX19aJfUNCs0uk0wWCQaDQqRlalUinhcJhUKkUqlRIFk06nw2QysXLlSl5//XW+/OUvU1BQIL5Ey5kLYQxSqRS5XH5DU0pYv8KaF7SSeDwu+qXi8TgymUzMgRJ8LolEgmQyKY49HA7T2trKmTNn0Ol0rFy5UvwsHo/j8/lIpVKo1Wp0Oh1yuRy73c74+Dh1dXWUlJQgkUhEhSEajRKNRoGrAlQul4vPKJPJiOMS3CTCe67X61GpVCgUCkpKStDpdJw/f57t27dfZ9LdDMs2qXQ6nWgqCYMWIJVK0Wg0jI2NcejQIaanp/nCF75AY2Mj77//PmNjY9hsNvx+P5FIBKvVSjQaZXp6mpqaGp555hmsVivj4+OMjo7idrvx+/2sX7+ebdu23RWfQBbLRyaTYWFhAalUSmVlJW63m56eHlatWkUikcBut6NWq6moqCCdTpNIJPD7/YyMjDA2NsbU1BRer5enn36apqYmBgYG6OzsRK1WMz8/z/bt2ykpKeHEiRMkk0nm5+cpLS1l06ZNjI2NYTKZKCwsvC5A4fV6OXz4MIODg7S0tLBz506i0ShHjhzBZDJx+fJlZmZmqKys5JlnnmHNmjXU1tbi9XoZGhoiLy/vM9nI5ufn6erqwuVyYbfbicfj7Ny5k1Qqxblz54hGo+j1esbGxpDJZHzhC19g/fr1zM3Ncf78eXw+H16vl9nZWeRyORaLhaGhIaamphgeHqampoZQKEQ0GmVoaIj/9//+Hw6Hg/Lycl588UXq6uqw2+04nU62b9+OSqUCIBQKMTY2xsjICFeuXCEYDNLQ0EBBQQHd3d1Eo1EKCgq4dOkSiUSCDRs2IJfL6enpIRQKceDAAfbs2YNCoSA3N5fi4mIuXryIx+O5bYGzLJNK2A1utSuo1Wrq6uqorKwUJalWq0Wr1bJ69Wr27t0rCiWlUsm+ffuora3lxIkTvPXWW3R2dvLRRx8RjUZpbm7G7Xbz6quvMjU1Je6IWdx7pNNp8RmazWb6+/uZnJzE4/Hg9XopKSnBbDYDVx2rly9f5vTp0ygUCnbs2EEwGOS9996jvb2dN954g/HxcbZu3UpdXR0ul4uOjg4++OADVqxYwZYtW/B6vfj9frxeL4WFhdeZBIlEgtnZWRwOB88++yzPP/88CoWCH/7wh3R1dbFv3z7WrFnD0NAQa9asobGxEblcjtVqJZPJMD4+viwf0O0ikUhw9uxZTpw4gcFgYP369Vy8eJGTJ08yNTXF+fPn6erqory8nCeffBKPx8PZs2cZHx/nyJEjnD59mrKyMnbs2EEkEkGj0fDkk09SX1+P2WymoaGB+vp60ZzKy8tj//79bN26lb6+Ps6cOYPb7cblciGVSjGZTEilUuLxOBcvXuTYsWOYzWYOHjzI/v37yc3Nxefz0d7eTldXFzabjW3btjE+Ps7hw4fJyckRTdEjR47gcDiAq7l6BQUFZDIZ/H7/bc/PsjWc24FGo2Hnzp1cvnyZS5cuYTKZMBgMonpnMBgoKSmhvr6etWvXIpPJGBwcZGhoiGAwSF9fH88++yw+nw+bzSZGw7K4P8hkMoTDYWQyGStXriSZTHL27Fna2tooKysjmUxSV1fHxYsXgaumstVqZd++fUilUq5cuSKGpQUTo62tjaqqKjZv3ozZbGZgYACHw8G///u/89xzz7F//358Ph/xeFw02wUkk0mGhob45S9/SUtLC9u3b0en0zE3N0d7ezvr1q3DZDJhsViQSqX4fD7RlJfJZGQyGSKRyGdSL+j3+zl58iQ+nw+Px4PRaKShoUF0RZjNZvLy8li1ahVqtZr29nY8Hg9zc3PMzs6SyWTIy8vDbDZjMBhIpVKk02nRnJTL5cjlciQSCRqNBqvVyooVK5DL5XR2duJyuXC73SQSCeCq1ZHJZJiZmeHkyZN4vV5efPFFrFYrZWVlxONxent7KS4uRqFQ0NzcjNfrpaqqilAoxMqVK5HL5VRUVDAyMoLL5aK8vFx8HkKazO3irgsciUQiDrC8vJxz586RyWRobm7GarWK3xH+yWQydDodZrOZubk5HA4HkUiE/Px8KisrqaurQ6vVotfrs47o+wSh5srr9bJmzRpWr17NuXPneO2119i+fTvr168nPz9/yTmJRIJLly5ht9vRaDRi3lZpaSl/+Id/iFqt5o033uDMmTN87Wtfo6Wlha9+9ascPnyYv//7v2ffvn0899xzqNVq4vG4mPslIB6PMzAwQCKR4MUXX0Sv12M0GtmzZw/nz59neHiYgYEBysrK2Lhxo3iu4AZYXFB4t5BOpwkEAoyPj2M0GjGbzZSXl7Ny5Up0Oh12u33J2l8sSHU6HRUVFYyPj9Pf309RURFSqZTa2lry8/Nvmox7rcWRyWRQKBSo1eoleXEul4vR0VHRz7X4esL/C36pay0Z4V8mkxGFtOAPkslky4rOfWaJA1qtlrq6OqLRKMPDw+h0uiXhM8GpF4/HRfVv7dq12Gw2QqEQHo8HvV4vCpobJTZlcW8gqM0ejweZTCZuBIJJU19fL/oJBG2or6+PEydOkEqlqK+vJzc3l1gsxuTkJBMTE/zhH/4hf/Inf0I0GuXw4cP09vbS1NTEX/7lX1JTU8PHH3+M0+nEaDTi9XoJhULieGQyGTU1NRw8eJBLly7xi1/8AqfTiVqtZu3atcjlcrq7u9FqtXzzm9+ksrJS3OkFv0hlZeVdXVPxeJyOjg46OjpQqVS4XC6CwSAGg0EMetwq90ehUFBZWUlxcTGzs7P4/X6efPJJdu/eTV5enqiZCc7om7kXhCCL2WxGKpUSCARIp9OiQJ6dnaWvrw+v14vD4WBiYuI6X+zvgzAOr9eLXC4nNzf3ts+94xmPx+OiRjI3Nyc6BvPz85HL5eLCXLFiBYlEgpKSElESptNpnE4n58+fRyaT4Xa7aWxsZO3atczNzXHlyhXeeustZmdnKSgooKCggN27d2M2m7Nazj1GMpnE7XYzOjrK8PAwExMTbNiwgebmZux2O+vWrSM3N5eRkRG8Xi8ul4vh4WGkUinRaJSxsTGKi4sJBoM4nU4++eQTPB4PyWSS4uJi6urqkMlkjIyMEA6H2bFjBytXrkSj0VBSUoLNZqO/vx+Xy0VOTg4ej0f0GbS0tKBSqfj1r39NOp1m586dvPfee/j9fhwOB3q9nkwmw+DgIA0NDchkMkZHRykpKaGysvKO6qSSySQejwePx8P8/DyXL1/GbDbj9Xp5++23qampYdu2bRw+fJhXX32V0dFRDAYD1dXVJJNJAoEAAD6fj/n5efx+P4lEgrm5OUZGRrh8+bIYAUomk+h0OsrLy8nLy0MqlTIwMIDFYmFychK/3y9qnsK8qFQq5ufnKS4uxmQy4XA4iMfjWK1Wtm3bxsjICD//+c/p7+8Xo4MajQav14terxcd1l6vd4lQcbvd4m/F43ECgQAul4uysrLbdhjDpxA40WiUyclJMpkM+fn5uN1uZmZmlqRZK5VK6uvrMRqNlJeXLwkfLiws0N7eTiaTYefOnaxduxaj0Uh1dTUGg4GjR4/i8/kwGo1s3bo1K2zuE5LJJHNzcygUCoqLi5mZmSESibBx40bKysooKCgQhZLgn5uenmb79u0cOHCAzs5OAoEAu3fvZnp6mpKSElKpFJcvX8ZqtfL0009TVVVFMBjk+PHjDA4OUltby/79+6mqqmJ+fp6hoSGGh4cpLS3F4/Fgs9lE9f6ll15CIpGIUZxNmzbR399Pd3c3MpkMu91ONBrllVdeoaioiMHBQQ4cOIDJZLrjxL/JyUm0Wi1r1qxhYmICpVLJ9PQ0crmcpqYmKioqqKys5NSpU3i9Xurr66msrGR4eJjy8nLUarXo0yoqKiKTyaBUKikqKkKj0TA+Pi4KtXA4zBe/+EW2bNnCnj178Pv92O12kskk1dXVmM1m3G43oVAIi8VCTk4Ofr8fq9VKXV0dMzMzzMzMUFtby+7du9Hr9Zw+fRqn00lLSwsNDQ2MjIxQUlKCyWTC5/MRDAYpKipCLpcTCASQyWQYDAZqa2sJhUKEw2FmZ2eJxWLs3LlzWTk+ksw1nrNvfOMb7Nmzh89//vNotdqbnijkEgiq3WKbVCKRkEwmaW9vZ2RkhObmZpqampBKpczOznLo0CH6+/v54he/yK5du1AoFOK5wkIS8jkW511kBc7dRTqd5vjx43i9Xnbs2EFJScl137n2eSx+zsLfwrWuXQvCeYt9AIt9Ddf6JRafL/wLBAJ8+OGHDA4O8q1vfYv8/HzRjyCsDcE07+7u5uWXX2bfvn0cOHAAuVxOa2sr3/72t/lf/+t/iSbgH//xH2O1Wm+YPxOLxfiHf/gHDh48SG1t7XVm143mQ7g3YUzC34vX8OJj1/pcAKampnj11VeRy+U888wzlJeXMzg4yE9+8hNKSkr40z/9U8rKyq7zp9xorqVSKel0moGBAU6cOEFJSQn79+8nJydnyXO60bgWX0v4zuJnI5VKcblcHDp0CLPZzOc+9zmMRuN172YikaC3t5cPPviAv/zLvxTTD+5YwxEcvjdSS+PxOO3t7Rw5cgSbzUZRUZF4Y8lkklgsJiZFLX4gwnWFG8/i/uNWz2PxIrvZWliO2XLtb2QyGXJycnjiiScwGAwMDAywY8eO63JnZDIZcrmc+fl5+vr6WLFiBS6XC7lcLuaC5ebmEolE2Lp1KxaL5Y43r9tdnzf7zs3mQ7AY4Grmtl6vx+l0UlNTw9q1a0VXxa3GvfjaEomE6upq0uk0s7OzuFwuDAbDbT+nG/0tJCa63W5sNptYzvSZ1lLdDtLptFjoV1NTI0YEEokELpeL+fl5MpkM09PTzM3NYbVas9pLFtdBeGnNZjPbtm0TM2BvBLlcztq1a/ne977HuXPn+MEPfkBZWRn19fV85zvfoaioiKamJjET90FDWVkZL774ImfOnOHtt9/GaDRitVp58sknqaurW3alt+A8bmhouKulF0qlkoqKCqxW6x1Fjq8zqb7+9a9TUlLCpk2bxMjDnSAej5NMJkVCIwFCEVoqlUKhUKBSqbIkR/cJmUyGCxcuEAwGaWpqwmQy3e8h3RKLzbCbfZ5IJERObiFku3j9/b4XJJFI8Jvf/IYnnngCi8Vyz9amoP0LKQBCZPb3Rbdu99p3c0MXRMatrplMJrHb7czNzfHXf/3XNzep0uk0Y2Nj2VD0Y4IrV64QiUSIxWKfmi/lUYBQhd3T0yPmzWSxfKTTaXw+33URrOskilKp5KmnnuLAgQO3dBpn8fAjnU6L2afbt2+nuLj4fg/pviMWi4nRr5qamuyme4cQKtyPHTu25PgNZ1Mul1+nimbx6CGTyYip8teavo8rBFNMoVCgVCqz5v4dQrCQrtUQbym+s+rko40sp/HvR3ZO7i7uSF9cXFMBS+sxPi0EjhMh5dpqtVJcXHxHYfJUKoXf7xeT1YQQvXAP8Xgct9vN1NQUSqWSmpqaZRMVRSIRsWp6/fr1KBSKx2KRLnYcXrsehOOL81Ou/exhx+28Azdyrj6q83G7WJbAEXhRuru7+fjjjwkEAqxcuZInnngCm812V+zddDrN9PQ0r732GpOTkxw8eJCnn376jgWOw+Hg9ddfZ2xsjG984xtLmOhSqRTj4+O8/PLL5Ofn873vfW/ZAufcuXP88Ic/JJVK8corryyLbvFhRSwWw+PxkEqlyM/PZ3x8nKNHjzI4OIhEIqGwsJDdu3ezZcsWFhYWuHjxIhMTEygUChobG2lsbHyozbd0Ok1PTw/Hjh1jZmaGDRs2sGvXLgoLC0UTzOPx0NHRgdVqpbq6GpVKRTKZZGxsjL6+Pvx+P6WlpaxevZqioqLHxnRbtoRQqVRYrVb8fj/Dw8M0NzeLdR53CsGjHQ6HMZvN5ObmYjKZPjVniVwuJz8/H5PJxMDAwHXXUiqVmM1mZDLZkuLA5cBisRCPx4lEInc8zocBQgFnV1cXPT09aLVaNmzYgEKhYHp6GrfbLVIw5Obmkp+fTyAQ4IMPPqCzs5N9+/YxPT3Nu+++i0ajoba29qFM7sxkMvT394tcP5lMhh/96Ef4/X7+4A/+AL1eT3t7O6+99hqDg4N8+9vfpry8HJVKxejoKO+//z6FhYUUFRVx8uRJpqenefbZZ8Xq8EcdNxQ4N+MJkUgkYk2N2WzG4XBQXFxMTk7Op1ILvV4vH3zwAR6Ph89//vNoNBq0Wu2nlvoSiURs8nbttQQVWMgFulNyL7PZTE5OzmfGr/IgIJVK4XQ6OXbsGP39/TQ1NbF+/XosFouYLV5VVcWGDRvEmjmZTMbAwAAdHR0UFhbS0tJCbm4uFy9e5NSpU1RUVHyqPK/PErday6lUirm5Oerq6mhoaMDv9+Nyubhw4QJbtmyhoaGBxsZGsehUoBQViLmmp6fZvHkztbW1dHd309HRQUNDg1jd/ahj2RrOzbgyFj+kVCqFz+cTtRa1Wk1JSQlarZZgMMjMzAwLCwsUFBRQXFzM+Pg4p0+fJhqNsmbNGgoKCsT6mKmpKVpbW5FIJJSXl2OxWFAoFMRiMZEVLh6PU1hYSF5enkhLKpPJmJ+fJ51Oi8yDExMTfPzxx0gkEmw2mxgGXlzXIlT0OhwOvF4vFouFyspK0R/h8/mYnZ3F5/Oh1WpFXly4GgocGRkRaRXKy8sxGAziQgqFQmLRWzgcFosfE4kEbrebQCBALBbDZrNhNBqJxWI4HA5cLhcajQabzbbkevcK8/PzHD16lGPHjrFz5052795NYWEhUqkUj8dDKBRCJpOJwlcikRAKhbDb7fj9frZt24bBYBAZ4i5cuEAymXxgBc6tIJPJ2LZtG3CVUkKv11NUVMTCwgLJZBKpVEp+fj6lpaXk5OSIz8rj8TA6OioWQhqNRkpKSujt7WV2dlZMkn3UcdeTDAS/yNmzZ4lGo/j9fubm5ti2bRt5eXlcunSJ+fl5RkZG0Ov1vPDCC0QiEYLBILFYDLfbjVKpJJVKMT8/z8DAANPT04yMjGCz2fjP//k/Y7VaGRgY4MKFC8hkMoaHh1Eqlezfv1+kd8zPz0ev15OTk4NeryccDjM2NsaVK1fo6uqisrKSr3/960u4PGKxGP39/Xz44YcYjUba29uRy+X81//6X6moqGBgYICLFy+SSqWw2+14vV4OHDggmmqhUIif/vSn+P1+9u7di8lkEn1C4XCYU6dOce7cOerq6hgaGqKpqYknn3yS1tZWvF4vmUyGrq4u1qxZw6ZNm+jr6yMSiTAxMcHIyAgvvfQSe/fuXXb9yqfF7Ows7e3tuN1unE4nv/vd71ixYgUtLS0iXUNPTw9OpxODwcDq1avFym5A9G2oVCpUKhVTU1PEYjG0Wu1D5zAVtGYBkUiEaDSKzWYTzfMb1VEJm2NJSQkajUak/xSE8512kXjYcNcFTjAY5OOPP2ZmZoann36aeDzOr371K3p6erBaraRSKfGlefPNN+nt7WXTpk0UFhYSj8dZuXIlRqOR7u5ucnJy2LBhA9u3b+fo0aN89NFHdHV1EQ6HOX78OAaDgT179pDJZPj5z39OQUGByMNSV1fHCy+8QCgU4ty5cxgMBjZv3szGjRs5deoUP/3pTzl8+DBf/epXxbEnk0lcLhfhcJiXXnqJ3Nxc/s//+T+cP38ejUbDj370I1avXs2XvvQlsfJdyDUQaDfz8vI4ePAg9fX1qNVq8YUKBoO0traK/ZWampoIhUJcuXKFI0eOsH//ftasWcPCwgKtra0olUoCgQDbtm1j9erV/OM//iMXL16kubkZvV5/zxLSEokE09PTBINBysvLKSkpYWxsjFOnTjE+Ps7zzz9PY2MjOTk5RKNRzpw5w/vvv8/evXuJRqNimv5iLVIo3r3bKff3Cos12sHBQZRKJS0tLeL6uxEW3/Pi66RSKbHU53HAXV+1DoeD3t5e4vE4ly9fFvmNBb9POBwW6Q4Fvg9hRxBsf6F6XKlUYjQaMZlMYrWs0Pnz2LFjbNiwgf7+fnJzc/nWt76FxWLh0qVL5Ofn09jYyIoVKwgGg/T09CCXy0UmtI0bN3L8+HEuXbq0xFmsUqlobGxEo9Fw5coVBgcHWVhYEKuQ29vbefLJJ8nJyRHb4vh8PpG398c//jEvvfQSFRUVaDQa4D8Wp0Co3d7ezj/8wz+wa9cuNm3aRG9vL5OTk4yNjSGXyykrKxN5aoXaGoGAKhwO3/OdMB6PEwwGUSqVNDc389xzzzE+Ps7//b//l66uLnbu3MmqVatYvXo1qVSK8vJyXnvtNXp7e0W/hNDyREg0NBqND72/QtByu7q62Lx5M2vXrr1lZr7QXmUx9YPQ2kXQeB4H3DWBk0qlCAaDS5j/ampqRCrHRCLB6dOn6e7upra2FqPReFs2/LV+IqHPdDAYpLi4mJaWFpG5bGFhgStXroiZoteSbwvXU6vV6PV6kQME/qMP8+TkJG+88QabNm3CYrGI/YICgYDI0CaQWgs9tQCMRiOVlZUcOXKEFStWsGPHjiX3J5FIaGho4Lvf/S4fffQRhw4dYmRkROyVXVZWxvr168Vq5rGxMd59911yc3MpKCi4oz7OdwOCKSRw2Op0OiwWC+Xl5UxOThKNRlGr1SJ9gdVqxWq14na7KS4uxm63i4RRQs2W1WpFp9M9lNoNXF0rDoeDU6dOUVhYyKZNm1Cr1eJc3Oi+CgoKyM/PZ35+Xtw45ubmkMlkmEymx8J/A3fAaSzsVIsJuNLpNPPz87S1tTEyMoJGo2F4eJjW1lZmZmaw2+1ib+ehoSFMJhO5ubkkk0nRdyM04woEAuIDufZ3hLRzi8WCxWKho6ODwcFBHA4Hly5dEoXB4jEKSCaTRKNRksmk6C9pbm5Go9GIvzE/P09HRwe9vb1UVFSIrPl+v5/CwkIKCgrEMK/dbufMmTNMTEyQSCTIz8/na1/7GlKplF/+8pf09fWJERwAp9PJ8ePHKSsr46/+6q9ENjaz2Yzf7+fcuXNMTEwwMzPDxMQEHR0dfPLJJyLBvMD3Mj8/v6RJ2mcNlUol8scMDw/j8XiIx+MoFApsNhtarZaBgQGGh4cJBoN4PAI5Zv8AACAASURBVB6kUinbtm1j/fr1GAwGkUN3dnYWmUzGunXrUCqVD6XAyWQyuN1ujh07htPppL6+HoDTp08zODgoNvgTNiJhHebn51NfXy82rnO5XDidToqLi8VAyOMA2fe///3vLz7w9ttvU1lZSX19/XWTICT+9fT08NZbbzE4OEgmc7Vp+okTJzh37hzV1dU0NzczNzfHxx9/LDbRKi4uRi6Xi1SQ8Xgch8NBMpmkpqZGzG+YnZ0lEAjwySefMDY2RlFRETk5OZw+fZr29nbRr1NcXMwnn3wi+hIEZ92JEyfo7e1Fq9VSUVGBXq9nbm6OCxcuMD4+LiYWlpaWsmHDBoaGhnjjjTeYnZ2lsbFR7DQxOTmJXC5nfHycUCjE9u3bsVgs9PT08N577zE4OIhMJmNmZoYPP/xQZM1bv349Z86coa2tDa1Wi8ViQaVSEQ6H6ejooLW1lXA4TDweZ9u2bezYsQOtVktraytnz55lamoKg8GAzWZjfHycCxcuiJy3gUCAoqIiysvL74rDNZPJiNXiNpvtpkmPGo0GuVzOxMQEV65cwev1olAoWL9+PUqlkt/97ne8+uqrXLx4kVgsRkNDA9u3bxdpKi9dusTs7CxTU1NYLBZ27dr1mXRNuBtIpVKcOXOGpqYm8vPzrzN1/H4/P//5z/nJT37C6OgoHR0dvPfee/T19VFXV0dRURGjo6Nij7VUKiVuVoWFhfj9frEZXTKZZPPmzTQ1NT2UDvRbQeAtHxsbY+vWraJ2fkOK0d27d/P8889fZ5MK+QQej4fJyUnC4TC5ubkYDAZCoRCpVIqSkhL0ej1ut1tsmlVUVERhYSGxWIypqSkSiQR6vV5sIVpSUkIymcThcCCVStHpdPj9fpHzNS8vD6fTKXb4E9rNTE5OEggEyMnJobS0VHwpgsEgJpNJJAkKBALY7XZisRhmsxmlUoler0etVuNyubhy5YqYS2IwGLh8+TKJRAKz2SySXldVVQFgt9txuVzodDqsVivxeJyJiQnS6TRVVVXk5+dz+fJlgsEgFouF0tJSlEoliUQCp9MpniuTycjPzxf9QHa7nVAohNFopKysDI1Gg91ux+PxkJubSyKRIJFIUFhYSGFh4V3REG6HYlT43sLCAg6HQ4wuaTQacnNzlxCpKRQKcXzC2llYWMDpdJJIJFAoFBgMBvLz8z81x8tnhVgsxj/+4z/y5S9/+YYUowIxvNPpXGKS6/V6kY87EAiIa1Ov14vpDxKJREzbENoZC9HUG5n/DzPuCsWokCgnCJDFxwGRLhQQ2eaFzyUSCTqdjry8vOuiE0KOi1B2sLgGRzhX4LJdHPEQFjz8Bz2lEOZe/D2TyXTd7wr/LSsro7S0dMk5a9asuel9GQyGJb8p+C0Wn9/U1HTdWBUKBaWlpUvoLYX/ms1mkfxq8TnV1dVUVVUtGcfdrFu7XUgkEjG94NrjALW1tdTU1IjHFo/v2vOuvfeHDSqVSux+eS2ENbL4ecLSObnZu/OwzsdycceJf7fzvbtx/Faf3+jYzRyry/ndWzlnb+SE/jS/davffFAW4e97Ke7k2T2suN31v5w19Djh8YjFZZFFFg8EsgIniyyyuGe4zqSKRqP89Kc/5ejRo1l6xccAMzMzRKNR3njjjSylLFejVBcuXKCvr++el5A8Skin04RCIdG3J+CGnMYHDhxg9+7dqNXqezbALO4P2tra8Pv9bNiwAbPZfL+Hc9+RSCT40Y9+xLPPPktFRcVjw1Nzt5FMJhkdHeXixYtLjl8ncKRSKYWFhVRXV4vp+Vk8mshkMkxMTKBWq6moqMiSqHO1lMNkMmGz2aipqckKnDtEIpEgHA4zMDCw5PgNbSbBE/+41Hc8rljcdjb7vK/i2lKa7JzcGW6WV/TIOWkETptEIiHWTd1NO1xIVU+lUiQSCVQq1SOXtJVFFp8Vli1wBLIop9NJPB7HaDRSXFwsZkvebwj0DidOnMBgMPDd7373rjV4E4SN1+vl5MmTtLa28vWvf52mpqZHWuAIFLBTU1Nidb1Go8FisYgcMIIQ9nq9zM/PU1JSglKpxOPxcOXKFZGmQqfTYbPZHmqHrLAGZmdnCYVCmM1mkedGuKdYLCZmlQs9vYUW2A6Hg2g0itlsprCwELVa/UC8O/cCyyZRj0QiDA0N8bOf/Qy73c7+/ft54YUX0Gq1D8SkSaVS4vE4XV1dWCyWu84zkkqlCAQCnDt3jiNHjvDiiy/e1es/iBDqi371q1+RSCSQy+WUlpZy4MABdu7cKQoch8PBG2+8wfj4ON/61rdE3t6XX34Zo9GIQqGgqqqKgwcPsnr16ofWP+Lz+fjwww9pa2tjdHSUkpIS/viP/1jkeJ6dnaWzs5OzZ8+yd+9etm/fjk6nw+12c+bMGc6fP8/Y2BhWq5UXX3yRlpaWx8ZfumwNJycnh40bN9LW1kYikaC5uRmbzfbALB6lUklxcTEGg+GOeYpvBblcTkVFBc3NzRw+fPgz+Y0HDcKOXlxczMGDBzGZTCiVSvLy8sTUiVAoxNmzZ3n99dfF2jihv3xLSwtf+cpX0Ol0Yv3Qg7A53QmSySTt7e34fD5efPFF5ubmePnll3nnnXcoKSmhrKwMp9PJkSNHRPZGYY3MzMyQk5PDV77yFbq7uzl06BBtbW3U1NTcddP/QcWya6kAkSTrWsKsBwWfVb3R4hT/B0XA3gtEIhFSqRSlpaWsWLGCvLy8JXOcTCYZHx+nt7dXrPcSmP1SqRQrVqygrq5OzPN5kNbKciGRSKivrxeryYPBIGfOnGFubg6Px4PNZmPdunVs27aNqampJeukurqampoaVCoVc3NzWCyWJUL7ccBdv1PB3u/p6WFycpJQKEQ6nWb16tWsW7eOdDpNf38/w8PDzM3N4XQ6yWQylJeXs27dOsLhMCMjI0SjUebm5kin06xcuZKNGzeKBFuzs7Po9Xp2796Nw+Ggra2NSCSCwWDA5/NRV1dHMplkcnKS//2//zdjY2OUlpaK1J+xWIzLly/T39+Pz+fD6XTy/PPPU1paytjYGL29vfT29lJaWsof/dEfYbFYCIVCXLx4UWyq9+tf//qG2k0ikaC1tZXBwUGRVvKLX/wiubm59Pf343Q66enpoaamhn379gHQ39/PxYsXmZ2dZevWrezZs+eB8nEkEglRY3E6nUQiEXJyckTC9NnZWfr6+lCr1dTU1BCPx8XzIpGISFMq+DMeFH/fnUAqlV5XrAtXeZsFX41AAHftpqTT6YhEIgwMDHD+/Hmqq6tZt27dsnuhPcy46089HA5z4sQJjhw5glqtZvv27chkMn77299y4sQJenp6ePvttwmFQmLzMIGIaGZmhrfeeguNRsPGjRvF7pj19fWMjY1x5swZiouLsdlsdHR0cOrUKWZnZzl69Cjnzp1Dq9WyYsUKMWFR6J20Z88e+vv7efXVV4lGo4yOjvL666+jVCrZuHEjbrebV155hY8++ojf/va3VFVVsWnTJk6fPs3x48dZWFjg3Xff5dVXX6WgoIBdu3axa9euGwqEubk58Xf27NmDRqNhbm6ODz74gHfffVckHz958iTHjh3jrbfewm63s3XrVgD+/d//nbGxsQeKVDuTyaDT6QgEAvzsZz/jv//3/84Pf/hD+vv7xf5kgUCAqqqq61oGCbk+L7/8Mn/7t3/LK6+8gt1uf2hN0cV0uOl0GrvdTiKRoLGxUexkIXzvWghcTJ2dnVy4cIHTp09z4cIF5ufn7/Vt3DfcdQ1HYPhPpVJi7x63283Ro0c5ffo0dXV1zM3NsWLFCmw2GxaLhcHBQVKpFB6PB4/HQ2FhIeXl5SJFpcvlErsVZjIZ9Ho9tbW1aDQacnJy0Gq1VFdX85WvfAWFQkFfX59I3djc3IzH4+HDDz+kv78fr9dLa2srvb29rFq1ing8js1mw+l0kp+fzxNPPEFFRYXY/mRqagqn08lbb71FYWEhVVVVFBcXU1paelMNJBaLcfbsWWw2G1u2bEEmk3HixAnUajWRSIS8vDyxf9PKlSvJzc0Vd0a3243P5yOVSj0wLHAGg4G9e/eya9cuYrEYH330Ee+//z6ZTIZ9+/YxOjqK2WzGarXS3t4uMiiazWaee+45kU3xnXfe4eTJk2i1Wv7kT/4EpVJ5v2/tU2F+fp7Ozk5xgzIajb+XEaCqqorS0lKqq6v5wQ9+wCeffMLatWsxGo2PhWl11+/Q7/fjcDjIzc1FpVIhl8vR6XSoVCrm5+dFdXNiYoLR0VHRGVlbW4tWqyWTydDb24vBYMDv92O1WlEqldjtdoxGI2q1mrKyMlauXIlOp2NwcFDsD5STk0M6nRZ9SoKPSfAzpVIpIpGISHmpVqvRarU899xzojBobW3lzTffRKVSkUqlxMZng4ODVFZWis69my2s4uJi/vRP/5Rf/vKX/I//8T9oamriiSeeYGJigtWrVyOVSikqKuLP/uzPUKlUTExMcPbsWbRardhH60a9uu8nBEe8MKbt27fT39/P1NQUfX19XLhwAZPJRGdnJ93d3YRCId577z2eeeYZGhoaRG1g7969jIyMfOqOqg8CwuEwbW1tuN1u9u7dK3J330rgCL4/rVZLfX09lZWVIsXug/S8P0vcNYETjUYZHh4W+0sHAgGcTie1tbUkk0nkcjnFxcWsXr2acDjM5OQkFy5coLS0lJ07d4rE6o2NjYyPj2OxWNi4cSONjY0Eg0HkcjlOpxOtVitSkgpdAOD2HZFC+99kMinSm0okV3sDHTt2jN/97nd84xvfIC8vTyRa12g05OXl0dfXJ/ZeEniFrzUNBgcH0Wq1/Lf/9t84ceIE//Iv/0JBQQFut5uxsTHy8/MpKytDIpFgt9v5xS9+gclk4vOf/zxOp1NkDxTu70Hw46TTaTGPRvBLmM1mjEYjTzzxBBs3bhT7kc3MzOD3+8We2UKDN4Hn12QysWrVqod6N08mk/T19TE0NMSOHTtYsWIFk5OTaDQakY3xWqTTadFMFvi7ZTIZFRUVS3qSP+q4o8Q/j8cjNvaanp5mcnISt9tNW1sber2eLVu2cObMGT755BMMBgMTExM0NDSwdetWAoEA/f39LCwsYDAYRA1IoVCIze2USiV+vx+pVMrExIS4SA8fPsyPf/xjNm3aRE5ODmazGY/Hw8LCAn6/H6/Xi0ajwe/3s7CwACAeF8jZQ6EQW7Zsoa+vj5/85CdMT0+jVqtFGs9AIEBXVxd1dXXE43HGx8dJJBI89dRTHDp0iB/96Eds2bKF9vZ2QqEQg4ODokoskUjw+XwcP36cXbt2UV5eTmNjI42NjWi1Wo4dO8a//uu/sn79egBKSkpE3uTBwUE8Ho/YJLCxsZGSkpIHYiGOj49z7NgxkskktbW1zM/PU1VVxdq1a7HZbEilUiKRCH6/H7jqWJXL5YyMjHD27FmKioqwWq04HA7Wrl3LE0888dAKnFgsRltbG7/+9a9RKpWoVCqGhoa4fPkyu3fvxmAwsLCwwNzcHPPz88zOzorP9c033yQSidDY2EgoFKK6upo1a9ZQXFz8QGws9wLLTvwTWqloNBpKSkpwOBz09PQwOztLNBqlpaWFqqoqKioqGBsbY2BggJycHD73uc9RW1vL2NgYOp2OiYkJBgYGxES6lStX0tDQQG5urqj9CB05t27dKiYXCn2ctmzZQkFBAbOzs6J2ZLfbxYhSdXU1ubm5uFwuvF4vZWVlFBUVMTs7y9q1a/kv/+W/cPz4cQYHB1m3bh3Nzc2k02nC4TDj4+NoNBoOHDhAOBxGqVTyB3/wB+Tk5DAwMMD4+DiNjY186UtfwmAwEI1GxTmqq6tjZGSEjo4OrFYrX/va11i/fj3xeJyKigp6enoYGxtjx44drF69Gp1OxzvvvIPH42H16tVotVpyc3NFLedBgFarRa1W09nZydzcHM3NzWzbtg2LxSJyE8diMXw+Hzk5OeTm5uLz+bBarahUKs6fP8/MzAwtLS2sWrVKpJJ9GBGJRLh8+bLYFqmzsxO4SlUrVNsLnUWrqqqYn59nZmaGiooKLBaLSPy/atUqnnzyScrKyh6bHBy4AxJ1+A/1UOD6FWx0QFyAi18YwecRj8c5efIk586dY+3atWzduhW/38+hQ4fo7u6muLiYwsJCdu/eTX19PRMTE/ziF78gFArxN3/zN5SVlYljWeyXEdR9wYYWTAC4qr4KaffCeUKauaDiCr4euJpVK/SduvaehM+E+xH8RcLnQv7J4rkRrr/42jcax+LzBdPls+YvXg6J+rVjF/xki/mWhWdxozkT1sm15z1o+H0k6sLzvdYHJaw/4V1YfN+L3wnhvMXHhfMfJdw1EnX4j5flVrhRnkUsFmNkZIT+/n5WrlyJRqPB6/WSm5tLbW0ts7OzzM/P89RTT6FSqUgmkxQUFLBx40aKiopu2KlAKpVeF80RVPrFuPbvm93DrfJDbid3RCKR3DS6dKPzb2cu7zcEQXErCC/cjeb5UYLwfG8VQbzV2npYTcm7hXt69zqdjh07duD3+3nzzTc5evQoNpuN1atXs2/fPmZmZjhy5Ag/+MEPMBqNVFdXs3XrVtatW5dlo8sii0cA1wmcZDJJd3c3CoXiM8mTiMfjlJaWin4KtVpNKBRiaGiIRCLBihUrxBwXrVaLx+PhzJkzj5zK+aBASDwT8oMedySTSYaHhzlx4gTDw8MPbUb0/UYqlRIbXi7GDQXOwMAAoVDoM0k8E/w6i/07N/vOo2rfPijIZDLY7Xai0Sg+nw+dTne/h3TfkUqluHLlCgqFAqPRmBU4d4hUKsX8/LzY803AdQJHpVLx0ksv8dxzz2XNmEccmUyGEydO4PV62b59e5ZilKsa+P/8n/+TL33pS9TU1Dz2Ppc7RSKRoK+vj+PHjy85ft1sCk4xlUqFSqW6ZwPM4t4jnU6LDlAhpySLqwEGYT6yAufOIARzrgvy3KfxZJFFFo8hsgIniyyyuGe4Y30xmUyK9VLhcJhMJsPCwgLBYJDCwkLq6upEoqYsHm6kUikuX75MR0cHXq8XiURCXl4ea9asYcWKFWL2+ezsLOl0muLiYpFoKhAIcOXKFbxeLzKZjNLSUiorKx+YSvg7RSKRwO/3c+XKFcxmM2VlZddFdQWWg5KSEiorK5HJZExPT2O32wmHwxiNRioqKsjPz3/k8pVuhjvScNLpNENDQ/z85z/n6NGjYkjVbDbjdrs5fvw4IyMjDy3nSRZLkUqlOHfuHO+88w4LCwti4WsymSQUCtHZ2cl7772Hy+XC5XLxm9/8hq6uLnw+H0ePHuVnP/sZ0WiUkZERXn/99YeaDwf+I0P7r/7qr/jrv/5r2tvbiUajS0pRhO/88Ic/pL29nUgkwsTEBG+++Sbj4+NEIhF+97vf8d577+HxeB6YMpbPGsvWcNLpNJOTk7z++usEg0Gef/55mpub0Wg0ZDIZtFot3d3dYor34yK5H2UIKfk2m40XX3yRgoICkWZkampKZFxsbm4mHo8zNDREa2sr8/PztLW1YTab2bBhA0ajkd/+9recOnXqhhrBwwKJREJTUxMtLS2Mjo7eUNj09vby0UcfMTExQSKRIJ1Oc/r0aSYmJmhpaaG2tpaenh46Ojqor68nLy/vodf6bgfLFjjxeJwjR45w8eJFnnnmGRobG5fkb1gsFjHCFQ6HcTgcIiduOBymqKiI0tJSwuEwXq+XUCiEXq+nvLxcrBIXzDShQDSVSuF2u0WqS5/Ph1qtFh/UYrNNoMH0er0kEgn0er3YslWgEw2FQhQVFVFWVkYmk8HpdDI9PU0qlaKqquqmNUWPK6LRKMlkkvz8fAoKCsjNzQWuvlgul4upqSmqqqooKCggEolgMpno7u4mGo0SCATYsmULBoOBgoICMpkM3d3dfOlLX3poBQ6AyWQSuZquhcPhoKurC0DsZuJ2uxkdHRXze0wmExaLhYGBARwOh0jj8ahj2dXi8/PzXLhwgYWFBUpKSpb0fMpkMiiVSrEaeHh4mFdffZWRkRFyc3NJpVJs3LiRlpYWMeFM4Ah+5plnMJvN9PT04HA4RIG0ZcsWsaJ6fn6e8vJy7HY7fr+fr3zlK+zbt0/MF0okEoyOjvLRRx8hl8vFAroDBw4QiURoa2tDpVIxPDyMSqXiC1/4AsFgkL6+PkKhEN3d3axZs4Y///M/z+YgLUI8HicajTIxMcFbb72FTqejqqqKqqoqAoEAfr8fg8GATqdDKpWSk5PD7OysWMBaVFSETCZDrVajUqmYnp4mHo+j1WofSh+fUHx6I+09EonQ1dWFRCKhtraWubk5JBIJXq8Xj8cj9q+SSqWYTCbxnXqQKGU/Syxb4ASDQZG5T6PRiNXYwWCQiYkJ3G43mUwGk8lELBYjEAjgdrvZsmUL69evJ5VK8cknn7CwsMDTTz9NSUkJ77zzDh999BFarZbZ2VkOHDiATCbjN7/5DR0dHWzbtk1kRtu6dSsymYzXX3+d1tZW1q5dS0VFBXCVha2vr4/Ozk6ee+451q5dy8TEBD6fj48//piZmRn+4i/+gvz8fH75y1+Sl5cnUpQ+/fTTuN1u3n//fV544QWRmCsLUCgU1NXVIZfLmZub4+LFi8hkMp5//nkSiQTRaHRJe1whgBAIBMjJyVnS1SOdThONRkWWu0dpjgUSsrGxMRobG1EoFGIeTzQaJR6PLzG9BLaDaDT60DMg3i6WXS2u1+tRKpUEAgFCoZC4aDQaDSqVivb2dgYHB3nqqadoampCr9dTUlJCc3MzmzZtoqOjgwsXLhCNRjEYDOTk5NDS0kIymeTMmTP4fD4GBwdRqVSsW7cOi8WCRqPBaDSSyWREtjyBCycSiYjj02g0lJeXEw6H+bd/+zc+97nPceDAAXw+n0iyfuLECTKZDAcOHKCmpobKykrm5+fp6+tjdHSUcDgsRt0epZfh08BgMLBt2za2bt1KOp2mvb2dV155hePHj7Nx48YbVuYLlK/XagFKpRKDwXAvh3/P4PF4OHbsmMixLZCjC77MG7VTEt6bx2Wt3VEjvJaWFqanp0XyKovFglKppLCwUCwA1Gg06HQ6UfUUuEKi0SiRSISioiK2bt2K1WpFoVAwMjJCa2srubm5tLS0iE5FuVzO2NjYkrqqxTvp4h1DIpFQXl7ON77xDY4dO8bRo0fp6+ujpaWFSCRCdXU1e/fuFWkUgsEgH3zwAUNDQ6xatYqKigrm5ubu0tQ+OpBKpUs6Q5aUlFBaWopUKhUJw3w+H8FgUGT+q6iooLy8nKGhIbGzQTQaJRqNYrFY0Ov1j9RLlk6nWVhYEH2Ir732GsPDw4yOjvLBBx8Qi8UACAaDhMNh0uk0TqdTTDF4mP1Zy8GyNRyVSsW+ffuYmpoS2+k+/fTTmM3mJY3xhP8uhkwmo7CwEL1ez6VLl7h06RIGg0F0BpvNZtrb22lra2PPnj1imcXthgwDgQCdnZ2oVCr+7M/+DKvVymuvvcaqVatQqVR88sknDA0NUVFRgc/nw+PxcPToUfLy8qiqqqK3t5d4PC46nLOp/lchUMlqtVrMZjOBQACz2UxVVRU1NTWUl5fj8XiYm5sTe883NTXR0NDA9PQ0Fy9eZM+ePTgcDqRSKevWrXvkdnWhX9XXv/510R9z9OhRXC4X27Zt49lnn0Uul9PT04PP58PlcuFwOMQgyuPgMAaQff/73//+4gNvv/02lZWV1NfX33ASJBIJRqOR4uJiYrEYU1NTuFwu/H4/drud4eFhAJqamkgkEpw6dQq3243NZsNqtYotUS5fviw2y5ufn8dsNlNQUMDU1BTd3d1MTk7i8/nENrPnzp0jHo9TWVmJz+fj7NmzBINBGhsbRapLoe/5hQsXSKVSyOVyTCYTO3fupKCggOHhYc6fP4/L5SIYDGI2m0W/j1QqZWFhAbvdTmFhIbW1tY989XQmk+HKlStEIhFsNttNG7JNTk5y+PBhjh07xvT0NAsLC1RVVbFhwwYKCgqQSCQ4nU78fj9ut5toNMrOnTtZsWIF6XSay5cvk06nmZqawmAw8MQTT2AymR5IgSP0URc6a96oWlyYt5MnT9LZ2Ulubi5WqxWTyYROp0On0+H1emlra6Ovrw+j0Uh9fT1Wq1Xk156dncXv97N27VrWrFnzSGp8TqeTsbEx0e8Ky6QYFSB0KwiFQiJBtEKhQCqVEo/HUavVYoh0YmKCeDwu9nLSaDSEw2FmZmZwOp0oFAosFguFhYViiHpmZoZMJkNRUREmk4lAIMD09LT43VQqxczMDBKJBJvNRmFhIXK5XAyZOxwO4Crhl0ajER3YQo8rrVaL1WolLy8Pn88n8izr9Xo8Hg9GoxGbzfbIN5i/XYrRUCiE3W7H4XCgUqkoKiqioKBAjDJFIhHcbjcLCwvIZDJ0Oh0FBQUolUoWFhZwOBzE43EUCgW5ubmYzeYl9JoPEn4fxShcXf8ul0sMSBgMBmw2G/n5+WLBotfrFT8XUjME01PYSIW1KXQifRDn405xVyhGBQg9n3JycpaExa/9Tm5uLoWFheLfwoTqdDpqamqorq6+7rPy8vLrWqkajUbKy8uXPBDhO4t3IJlMhtlsJj8/f8k44KqzsqGhgfr6+iW/J/AoC38vHlMWVyF0NK2trQWu790uCHABiz+7do08KhxHBQUFmM1m0dy/VhPKy8sTAx2L56uoqEh8J+DRmY/bxR3XUt3uRN0s0/hm593o+O0+jN83ppsdz2ZD3xq3Q3r++xrAPUq4nbV/qzl71OZjOchWi2eRRRb3DNdpOJlMhlgsRigUeqgL7LL4/RD6jEWjUcLhsNg88HFGIpEgHo+LTROz2u+dIZFIEIlEroswX+c0/k//6T/R3t4upqln8WhDSKvPycnJsttxVQg7HA5MJlM2LeJTQPBd7d27l7/7u7+7udNYrVbzzW9+k127dqFWq+/5QLO4d8hkMpw7V70fjgAAIABJREFUd45AIEBLSwsFBQX3e0j3HfF4nB//+Mfs379fLPrNYvlIJpOMjo4yODi45Ph1AkcqlWKxWKivr3/kw8KPOzKZ/8/eewbHdaVn/r/OAQ2gG6mRcwYIgDlCzBJFWtJQ0o6kGmk0K6vGNZp1/W2vq9b+Muv1uOyqXdvj8q499nhmrJE9mhGlUSAlkZRIMQeQBEhEImc0QqO70UDn+P8A3aMmCUoMCgSJp0ol8N7bN5x77nvO+573fZ4o4+Pj2O12SktLl0jUmTc4qampFBcXU1JSsmRw7hDBYJBgMEh3d/c12xecQ0sR9iWX6v5GrGzx0vueR2x7LLXJneNmks5fu9Mu1T9J2uOxut5LWMIS7m/cscGRxOslNjPp35L0iFarXTAI6ff76evr4/Tp01itVjZt2sTGjRtFzVQoFCISiaJUKlEolkaXew3hcJhAIEAkEhEyKpFIhEAgIOgXJIkVmUwmjpfqi2L3LXaEQiECgYBgP5TL5USjUbHSJVFO6HQ6VCoVbrdbkNFJkMvlIiP+QZhN3ZHBiUajTE9P09HRgcViQa/Xo9PpsNvt9Pf3k5CQwPbt2ykrK7uhEdVqNXFxcdhsNrq6uqitrQXmp/fTNhvNV5oJBgOsXbv2nq23uR5er5exsTESE42f1t/c/j1LHTUSiaBWq+/JzifVQx08eBCPx8PevXvJzs5mcHCQS5cu4XA4CIfDxMXFsW3bNsxmM+3t7Zw/fx61Wo3P5yM9PZ0dO3YsaoL9aDTK0NAQTU1NNDc3s3HjRtavX4/BYGBubo5jx44JQvmpqSmqq6vZsmUL77zzDsePH0cmk4n2iEaj7N27l0ceeUQwKd7PuG2DIzGUffzxxzQ1NVFbW8vy5ctJTU0lFArR0tLClStXsNvtRCKRGz4cmUxGXFycIGaSVuWDwSC9vb1caW6mpLh4UZXrT01N8dpr/8nKlct5+OGH0Wq1t/0xBYNBWlpbAagoryAu7t5iHIxGo3g8HhobGzlw4ACZmZns2bMHm83GmTNnGBoa4uGHHyYUCvHBBx+gUqmora3l8OHD2Gw2Xn75ZXp6ejh16hTJycls3rx50S7DS8H2Tz75hAsXLlBcXCx4n7u7u/nwww9ZtWoVGzZsYP/+/ezfv1/IBm/ZsoXy8nIMBgMtLS2Mjo6SlZX1wKwI3/YbD4VCnDt3jiNHjlBaWsrGjRsFNwpAZWUlOp1OWOtwOCwY/uVyOWq1esFgXCgUQqFQUFVZSV1dLTqdTqgChEJh4uL0woCpVCoUCgWRSIRQKEQ4HBajhkTeHgqFRC5AbIxILpcTDAZFLEmpVF7nzkXmr6NQoI5RDpRcxlAoDMyfV3InNBoty5ZVk5GRiUwmE50vFAqJ+5LJZOL8kqsBiHt2uVwcPXKUpKRkcrKz0em0t1RS8HUhGo0yOjpKS0sLNpsNs9lMJBJhfHycjo4OUfDq8/kwGo00Njbidrvp7+9n9erV5OTkEAqF+Oijjzh9+jQbNmxYtAZHJpNRW1uLxWKhvb1dJMiGw2FsNhvDw8NUV1ej0+lISEgQfN7r16/HZDKRnJxMKBQSEjJZWVmLti1uF3dEon7kyBFGRkbYs2cPZrP5mkrXhIQEqqqqxIc/ODjI0aNHOXfuHMXFxTz77LM3TB39fj9DQ0OcP99AS0sLXV3dPPbY7zE2Nsbhjz7G5/ORk5NDS0sLWVlZPLn3W1RXVzM2Nsap06e5ePESJpOJl3//JTIzM5icmuL48eMMDQ1jNBpZtWol4XAYrUaL0WTk6NGj2GwOAoEAO3ZsY+2aNfgDARovNdLY2IhjZoby8jL27N4tKBui0SgdHVc5dvw4kUiEeIOBNWvWMDg4KHSb9J8mS1qtVo4fP0HDhYskJMTzwgvPY0w0cvbsWQYGBzEY4mhpbsEfCPLcs99m2bJlNDRcoLmlFaPRiF6v+9SQZ94TPCmRSAS73U57ezter5fc3Fxgvk0kXqGioiKMRiM+n4+UlBTOnz8vDGxRUREajYb4+Hh0Oh1DQ0OLmlJTGjCvj0WpVCqysrJQq9UcOHCAcDhMZ2cnK1asoLa2luzsbDHQ9vX14fV6KSwsJCkp6Z50ob8K3NZTSj7pxMQESqWSxMRE4foEAgGcTid2u13wHp8/f15MJ9evX09TUxPvvPMOMzMzwpXy+/00NjbxySfHyM3JYdOmeoaGhwU5VyAQYGbGSWlJCTt3bMdmm2bfp1IjH354EKVCweaH6rFOTQmNn7NnztDfN8jDO3diNBp59dXXaGxswu3x8Nabv0Or0fH4Y79HXl4uP/vZzzl1+jSjI6McOvwRaWlp7N79KNEoItU/EokwMTHBq796DZ1Oy65HHmZqaoq/+/ufoFKrUKqUXLx0CevUFDMzM/zmt28gVyjY+60n6Ovr58zps7hcLmw2O4cPf8Ssc5Zdu3YRb4jjvffeZ3p6msrKCjIzMygpKWbDhg1kZGTcM6Oez+fj9OnT9PT0sHz5chF/kShKZmdnBYuiNJucnp7GYrEQCoVEH5Fc6JmZmfuydEYmk5Gfn8/TTz+NTCbjF7/4BbOzs6xYsYLU1FQxMHs8HlpaWlAoFOTl5T1QhP233aOlDiWtVMD8SOf1eunq6uLSpUtYrVZqamrIzc1l48aNaLVa2traCAQCWK3Wa3iI5XK5GMkVCgWzs7NEIhFmZ2fJzMxAp9WSlprCqlUriEYhEAhy9tw5bHYbtbU1qFQqLOPjRKJRpqbmibVGRkZRqRSUlpbg8/lQKBTodTqmJqe4fPkyGzasp6AgH4/HzalTp7l44RJbtm7G4bBzvqGB5ORkamqWXTO7GbNYGB4eYcvmhygoKKCsrIzevn4K8gsIhUPodHoikSgqlYoVK5ZjMppwOp0EAgFsdhtqtYq8vFxMJhN1dbVUV1djnZ7m1KlTzM25hPHWabXEx8ejVn/zMxuYd3X7+/uZnJykqqqK9PR0Tp06JdzFhdw+uVx+jfGBzyqkFQoFarX6vhR+C4fDjI6OMjY2xkMPPcT09DSNjY289dZbJCcnU1lZiUwmY3h4mJGREUpLS4XG173iOn/VuK0ZjsRxk5ubSygUYnR0FI/Hg0wmIyEhgdzcXAKBAF1dXYIkfW5ujqtXrzI8PCxWYWJHNmlq6vP76O/vZ2Ji8tNjouKaCoUCjUZDYmICmZkZ6HV6NBotkWiE/oEBhoeHCYdDRKKRT+NEGmZmnIyNWXDOzqL8tJNPTU0RCAaE2oTBYCAxMQGr1UqcPo6NGzcyPT3Nv/3bL7ja0Smm/TKZjDh9HBqNBotlHIdjhsmpKdLSUjEY4j5bVZKBRqNBp9XR1dXJ4ODgvGEOh5HJ5ILFX6PRoFKpP/3wIBqV2kOiPbg1SoivA263m76+PsbGxhgbG5t3Cz9t84sXL2K1WtFoNHi9XlEI6vf7he4XIAYRKa6WlpZ23yyNx8LpdHLo0CF6enrYsGEDr7zyClu2bKGrq4uOjg68Xi9zc3OCyjYrK+u+Z5W8HrftOOr1enbs2EFGRgYNDQ10dXWJ0U6n0xEfH49Wq0WlUtHU1MS7776Lx+OhvLxcEBbFjm5+v58rzS0c++Q40WiUsvJSjImJQHTe6HzaJ6VZlNPpxGic17g6cuQTZp1OykpLSUlJJRqZV/4sKSnGbrfz3v4DDA8Ps379etavX0dWVhZ+fwC7wyECu5FIFFOSCY/HTVlpCX/43/6QZcuq2X/gAMPDI8D8x5+VlUl1dRUtra188OGHzM3N8a0nnrih/mhyaor33nsPq3We1zc1NRVksk+NynWVs9e1bTQaJfLpf9e30zcFrVbL8uXLheyO2WwWaRDJycnk5ORgNpux2WzMzMzgdDpxOByUlZWxatUq5HI5PT09glw9GAxSVlZ2X7oRksZ6KBQiLi6O9PR06urqiI+PF7lIQ0NDXLx4kfT0dHJzc1Eqlfed4f083DaJulKpZO3atdjtdvbt28dvf/tbAMrLy3G5XPh8PgBBNzozMyPE7hwOBzKZjMHBQWZnZ4XAmkKhYGZmhqkpK3EGAxOTkyQkJmA0GQkEgni9HsYnJggGAvgDAbZs2YxSpRSxA51ez/T0NGq1mvb2DhouNBAMhcnNzUGv15NuTic+Pp6CgnyKi4q5cuUKebm5WCzjBAN+Vq1cidU6TWdnF48//nusWLGcubk5NJr52EMkEqGrq5vm5isUFRYRbzCQkpxMcnISwKdJXiECAT+hYBCb3Y5crhBSOqOjYwwNj+B2ewiFQp+SxgcJBIJExMoXRCMRRkdGsYxZ0Kg1xMXpv/EsbLVaTXZ2NtnZ2YTDYVQqFSaTCb/fT25uLmlpaQwPD9Pe3k5fXx/RaBSbzcbGjRspKyujp6eHy5cvC70mvV7PqlWrFr0bIdEvhEIh/H4/wWCQ+Ph4Vq9ezQcffMDg4CApKSnY7XZKSkooLy9HLpfT2tpKKBSiqKjogci7uR63TaIO89H47Oxsli1bhk6nY2BggNHRUeFilZSUUFdXJ1wvp9NJamoq2dnZgvbC4XDg8XhISUmhrKwctVrN3NwcyUkmsrOy0cfp0et0DAwMMjg4NC8LQ5TS0lKqKitJTEggCtjtDgyGOAoK8tFqdWTnZImcHpvNxtDg/OrXyOgoy+vqKCktwTZtw+6wI5PBqlWrWLZsGXFxeqzT0wwMDKLWqKmrq6OkpERQFITDEdrb2xkbG2Nubo6urm72HziAXC7HZrMxPT2NRq2morKCxMREJiYmUSoVZGRkEB9vQKfVMjExgd8fwGQyEQ5H6B8YJBqNkpOTjdlsnufCdcwgl8tJS0v7yilCboVEPda1m5mZoa2tjZGRETQaDSkpKeTm5gp55/HxcTGbXbduHZmZmWRkZKBSqYRiQ21tLXV1dfesS3WrJOqdnZ1cuHABj8eDVqslJSWFlJQUcnJySEhIwGazYbPZ0Ol01NfXU1FRgcPhoKenh9LSUlauXElCQsI92QZfBr50EnVAlDZIeTCSVpSUKyOTyYQutbTiEpuHIpVBqNVqkU8zf2MyIpEww8PD/Oa3+/D7/fzR//eHGI1GEQeJRqMEAgGCwaB4mGAohN1m59Tp0/j9frZu2UI4HOL4iZN0dnbyvRe/S1VVldAIig1uSsRjkmhZrJZWOBymta2Nt99+hzWrV7Nq1SocDjv/+3//LYWFhXzvey8SH28QaqSfpbwrkcnm20uhUMzn5oTDqD69ZmxmsUqlEhW2SqVSxIW+yg55qyTq0juX2khqP41GI1agpH4AnwWGpZWsWJXN2DKAexG3SqIu6WxJfXs+Ljc/QEvuk/T+pAURqbRBp9OJUob71eB86STqgPgwPw+36qtfP5ua77wywuHQp66cCo1Gc81L0mg015AkKYNBHDMzdF6d156SfGeT0Uh5eZnQuF7onqQY1EKIRCJ0dXYxMDDI1q1b0Ot1BEPx5OfnUVlZjtFoxGD4LPgnBbm/CNdnU1//PPcSpDbXarULZsUudN9Svsr9RnMiGZGbeQA3e4+ShEzseR403FWix1fZYLOzs7S1tXK14yrhSIQjR47wyCMPC0WGha6tVM4nXpVXlHPy5CkaLjRQUlJKfl4ujzz8sNBQul0oFApqapbR2tbOL3/5KgcOfEBeXi4PPfQQNTXLRBnC/d6B7uT57tc2uV+f66vGDQYnEokIGd9vsr4jEomQm5fHD3/4A6JRMBjiGBsbE5pTn/e78rJScrKzCIfDqNVqtFotc3NzdHZ23vH9BINBdj2yE5/fj1wmQ6VWE6fXMz4+/oX3dC9jaGgIp9NJd3c3drv9m76dbxzBYBCr1Upvb+817voSbg+hUIjBwUHBEiDhBoMTDAZpaGjAbrffE2n112uHf9W/u9Vzfpnn/aYQGzQeGxu7qcbYgwSpxikajd40aLyEL0YkEsHhcGAyma7ZfoPB0Wg07Nixgz179tyXuRJL+AzRaJTjx49jt9vZuHHjEsUo80FjmUzGU089RXFx8T1TXrLYEAwGaWtr4/jx49dsX7A1VSoVOp3ugSmZf1AhkWVJbufS+/5s5VKr1aLT6ZZcqjuEtHJ3WxSji91lWMLn435zEb8KLLXJl4uvZL4oCaxJleN6vZ60tDSxPCrl0DgcDubm5oTAfay/LOU6SBXoMpns0yS6G5PTlrCEJSwO3LXB8fv9tLa2olKpKC0tRavVCoPT0NDAsWPHKC8v51vf+hZZWVnAvH83MDDA+++/T19fH3v27OGRRx65IUDn8/no6Ojg4MGDRKNRXnzxRSorK+/2lr8QUrV6T08PmZmZZGZmPtAjXTQaxeVy0dXVRVdXFyqViqqqKoqLi6/JN5FIzObm5giHwxgMBoLBIIODg0xNTaFUKsnNzSUvL2/RuyqRSIS5uTn6+/sxmUxkZmaiVqvx+/20tLTQ2tqKy+VCJpORnZ3NunXrSElJYWpqisHBQVwuFykpKRQUFJCYmLjo2+NWcdcGZ2Jigt/85jfodDpefPFFCgsLkcvlxMfHo9frcTqdzMzM3MB9IpfLGRsbo7W1lc2bNy9YqDhfIZ5IKBRicnLyhiW2rwrRaJSxsTH27dvH9u3bycjIuGODI6V4K5VKTCbToqwh8nq9NDc3c+nSJSYmJujv7+fy5ct873vfo6SkBJivKpeEz+RyOcXFxaSmptLa2kpDQwMlJSXY7Xaam5v51re+RU5OzqJdAYpEIjQ3N/PRRx/R3NzMk08+yc6dO1GpVMzNzXH27Fna2tpE9rFcLsfv9zM6Osonn3wiMurPnDnDsmXL2Lp1K8nJyYuuX9wJ7uqNR6NRenp6RKfq7e29hidFr9cvGIhUqVSkp6eTlpZ200aW0uATEhJISEj4Wiun5XI5eXl5fP/732flypV31RGsViv/7//9P06fPi0KWxcbAoEARqORRx99lN///d9n/fr1gkozEongcrk4efIkv/3tb3G73dTW1lJcXMz09DRHjx5FpVLx8MMPs3LlSvr7+zl58uTXNnh8FZDJZKLWbXh4GLfbLfaFQiEMBgN79+7lz/7sz/jRj37Ed7/7XbKysjh9+jQdHR1UVlbye7/3e8jlck6dOkV/f/+ibo/bwV3NcKTZS2FhIZ2dnVy9epU1a9bclABdqsXxeDwiviMZEol+Qqo4V6vV1xBg+f1+UQymVqtJSkpCq9Xi9/uFPrZKpcLr9WIymdBoNLhcLlwuFwqFgpSUlGuMn1Qb5PP5mJ2dFXSYgEjHl/S2JR0tt9vN3Nwcfr+flJQU4uPj8Xg8uFwuUUM2OzuLVqsVDG9NTU2cO3eOtLQ0nE6nqJtaTKNZQkICZWVlAIyNjaFSqcjJySE9PR23282pU6d4//33qaioYO/evSQlJYncHofDwerVqzEajZjNZsLhMJcuXeKpp55aVET51yM5OZnc3NwbnsHtduN2uzEa5xU8pD5ns9no7OxELpeLfRkZGaIgeNmyZfdE3ttXjTs2OBJf8fT0NKtXr8btdtPd3Y3FYiEpKWnB4/v7+0V5vt/vp6enRxCsDwwMcPXqVWw2G2NjY7jdbnbv3k16ejqRSASr1cqpU6f48MMPsVqtrFmzhkcffRSLxcKbb76JxWKhrKwMp9PJpk2b0Gg0WK1WrFYrw8PDPP744zzyyCOig0gZ1R9++CFut5uEhATOnz+P2+3m0UcfRS6Xc/bsWVasWMFzzz3H5cuX6erqIhAIcObMGSorK/nhD39IS0sLr776KnK5nE2bNtHQ0MDs7Cwvv/wytbW1jI2NMTs7y/j4OP39/eh0OoxG46IyOFKxbV9fHwcPHuTy5cusXLkSk8nExMQE586dY3JykuzsbA4ePEheXh45OTlMT08DkJGRIerLtFotFosFv9+PTqdbVO0gQbrnhVzCQCCAxWLhxIkTdHV1kZGRQXV1NTMzM9jtdsxmsyjclNwol8v1wMxw7til8nq9jIyMEA6HKS0tpbCwUEyzpWpiCRJHyocffsjp06fJzs5m69atLFu2DKVSSTAYZHx8HJvNRmVlJXV1dYyPj3PhwgVmZ2eRy+Wkpqaybds2nn/+ebKysti/fz8XL14kFAoxPDzM+Pg4JSUlPPbYYxgMBnp6esjLy2P79u3Mzc1x4sQJcV/SzObKlSv87ne/Iy8vj4cffpiUlBRsNhsbNmzAbDbT19fH9PQ0Xq+XtrY25HI5W7dupby8nPfee4/h4WHi4+Npa2vDZrOxZs0aXnrpJRwOB0eOHEGtVgvah/z8fKqrqxedsZEgrRqqVCrC4TBNTU20tLQwNjbG8PCwoNI4deoU//Iv/8LBgweZnJwU1fexbAISK+C9QDD2ZSMuLo6CggI0Gg1tbW387Gc/4+c//znt7e14PB7g2uLncDiMz+db1KTyt4M7nuHYbDa6u7sZHBxkZmaG8fFxZmZm6O7uZsWKFaSlpYljQ6EQXV1dNDQ0kJKSgtlsxmAwiMQgtVpNSUkJqampeDweBgYGmJmZEZZfJpOh0WhISkqipKSEbdu2MTw8zMDAABkZGSQkJKDT6XjssccwGo24XC7y8/OJRqO0t7djt9sxGAzXvFRpNWV2dlaMvBKvsEqlIjU1VXDvxsXFsXXrVvx+PxMTE0xOTuJyufB4POTk5KDRaDCbzSJgrtfrGRsbE7I2kpxx7Ie32KDVaqmpqaGgoIC8vDz27dtHU1MTpaWl+Hw+Nm3axLPPPsvg4CD/+Z//ydGjR0lPTxcUFZJxUSqVxMfHL8o2uBVkZGTwzDPPoFKpsFqt/OY3v+HUqVPCYMcyOUrqpfcqN9BXgTua4UQiESwWC+FwmN27d/PSSy/x/e9/n+zsbC5fvozFYrnh+KmpKSYnJxfUpIpGo0xOTnLgwAEOHTqEQqG4aV2PFEhOTk6+5gOWskNlMhl2u50PP/yQX/ziF8DCFBk6nY6SkhJyc3OFIsHw8DA7duy4YRk8GAzS2dnJP/zDP9Dd3U1mZqbYF0skHvtsC43ei7VTxT5bQkIC2dnZgpdYyszV6/UYjUZKSkqoqqoSS+PhcJjJyUnC4bDg0klLS8NgMCza9vg8SGomer2e9PR0oU8VFxeHwWDA7XYLxU3J5TQajYs6nnU7uG2DI02J+/v70ev1FBUVYTabKS4upqamhkAgQG9v7zWRe0kOIyMjg+7ubq5cucL4+Dizs7Ni1tDQ0MDQ0BClpaXk5+cjk8kEMbckQifpVEtVzaWlpTcYE5/PR3t7O2fPnqWwsJCioiIRTI69J5g3RPn5+bhcLgYGBti7dy/PPvvsDQmI09PTvPvuu2i1WlasWIFOpyMYDIpg9ee5BlItjvQs0ii3WBCJRLDZbPT09DA5Ocns7KwQwluxYgXZ2dkkJSUJonWpQr+2tpb6+nri4uJoa2tjbm6OyclJ5HI5K1asWHSB81tBOBxmamqK3t5eQS8r8TvX19dTW1sruJ3tdjuTk5OYzWYyMzMfmJqt23pKSVPo9OnTHDx4kIyMDDyez3h6Jc3lQ4cOodfrGR0dpa+vj2AwyMaNG9m+fTtvv/02r776KiUlJXR3d+N2u7HZbBgMBjweD8ePH6eoqIhgMIjFYsFisaDRaJibm+PkyZNMTU2JoHFtbS0tLS1YLBZkMhmtra2Ul5eTmppKXFwcx48fF2qfMzMztLS0YDKZ0Gq1YuS9dOkSSqVyXihPq+Xy5cvU1dVhs9mYnJwUnae0tJRDhw7x8ccfE4lEUCqVnDt3TsSeLBYLo6OjoiPpP6WukGg2z58/T25uLmvWrBFEYIsBoVCInp4e3nnnHVwuFxUVFSQkJLB+/Xrq6uoIBAKsW7eOCxcucPjwYdEntm3bRlVVFZFIhPPnz3P48GFmZ2fJyclh9erVi/oDk6rsL126hMViobm5mZqaGnJycmhqamL//v2YTCby8vKQy+U88cQTVFVVkZiYiMfj4cqVK/T39xOJRFi7di05OTmLpj/cLW77rUva4PX19aSkpJCQkADwqR7T/Oiv0WhISEigoKCAp556SkzDa2pqyMvLo6+vD4PBwKpVq3C73RQVFYmsS6vVSlpaGtXV1QQCAfLz86msrKSwsFAslWdnZ5OVlYVCoSArK4vnnnsOmUyGVqtFrVZTUVHBK6+8Qnd3Nzk5OSxbtgyHwyFkS6QcH6PRSGlpKaFQiJycHOx2Ox999BGXL1/mmWee4b/+1/9KQkICJpOJZ555hszMTOLj48nLy6OgoICkpCRkMhk/+MEPSEhIEFSSL7zwAgqFAq1WS1paGi+//LIg1V5sKzNKpZKCggK2bNlCf38/KSkpVFVVUVBQgF4/L7+8a9cuCgsLcTqd4r0XFBQQFxfHrl27KCgowO12k5ubS0ZGBnl5eYuqDRaCSqWioqKCP/iDPyAtLe2avifNAlNTU6mqqiI3NxetVktJSQmPP/44IyMjRCIRysrKyMvLe2CS/uA2OY1jg13S37GUn7HbYzW5Y4+LPUbcRMwKhsR9G7tPOnfssQtdc6F7ib0Pab8UM3rttddobm7mf/2v/0VmZiYTExO88cYbXLlyhX/4h38QgW/JxYrN05G4maXtsfGb2ONinzn2mHuhg90Kp3HsO499zth3Ju2XcH1gfKF998LzL4Rb5TSWcrNi36vUHgttj+3fsd+I1A73anvcKb4UTuPY5byFcCvTwjudOt4sDf5O7kV66cFgkNHRURoaGqipqWFkZITp6Wm+//3vk5aWdkNni72H2L+vv9b197qYp8tfxF/9RX3ii/YtRly/QHD9vpv11XvZ0H5dWLyO9F1AJpORmprKc889R3p6Or29vYyMjJCfn88LL7xARUXFffeRLGEJ9wIWNDiSBMb9bo3T09N5+umnr5E3kUoZFmvd0+1AogmRBAljNd8fVEjSQ36/X4g0LuH2EQwGCQQCN2y/weD4fD7eeustGhsbF/VKwhK+GNFolJGREbxeL6dPn37gdK4XQjgcpqGhAYvFgtFoXLQV7d80IpEITqdXhyyJAAAgAElEQVTzhrjgDRZFrVbz8MMPs3PnzvtOT2gJ1yIajXL27FkcDgdr1qy5Jjv8QUUwGEQmk/HYY49RUFCwNMO5Q4RCITo7O2lqarpm+w0GRy6Xk5SURHZ29hKJ+n2OSCQiqtqlfKEHHX6/n4SEBNLT08nOzl6a5d8hgsEgdrv9BoO9YGve60uXS/hyELsku/S+53F9qcpSm9wZbtZ2NzU4d4tIJCKoJ6QCRqkEX61WL40cS7hnsZhKTxYb7vqrj0QieDwekemrUCiECFZTUxNtbW2YzWbMZjNdXV2Ew2G2bNlCRUUFgUCAaDQqfreEayGtmEgG+pscbaWEtmAwSCQSEdraUp2btNoVjUZRqVTo9XpkMhmhUAiPx4Pf70ehUBAXF3dfVEdLK3tSMqSUaSw9VygUwufziXZaCj7P464NzszMDD//+c8xGAw89dRTQr/bYDDgcrm4cOEClZWVZGVl0dnZyeDgIFVVVSQnJ3Po0CE8Hg9PPvkk6enpd/RSIpEI4XD4G/8gvwqcO3eOtrY2tm/f/o2KskmMi2NjY1y6dInZ2Vnq6+spLy8nFArR39/PiRMn6O3txev1kp+fz9NPP43ZbKa7u5s333yTs2fPYjQaee6559izZ8+iXpCQSNgkjqVAIMCjjz7K2rVr0ev1eDweuru7OXz4MGvWrGH9+vVLK4Cf4q7N7sDAAI2NjZw5c4b+/n6R06JUKjEajcTFxYlEu6SkJMLhMNFo9Bq+4js1FD6fj6tXr3Ls2DHm5ubu9lHuOWg0GuLj45HL5d/oND8ajTIxMcGhQ4d444036OjoEO9xamqKI0eO0NXVxa5du9izZw89PT0cPnyY0dFRJiYm2LhxI//9v/93zGYzhw4dYmJiYlG7Lc3Nzezbt4/CwkJeeukl9Ho9b7zxBm1tbcLY/Pu//zsHDhzAarXeICDwIOOuhkyfzyd4ccbHx+nq6qK6ulpwESsUClFLIv0N8zGipKQkdu/eTSQSETw2Uie+vjPG1iRJpFYKhUIUW46MjFBeXi5Y52LrWaT7iK1zgc/KG2JT9mNrZKR/S/tiO430tzSrku5Nun8pZhV7LumY2PuJrU+Srie1lUwmY/ny5VRXV6NWq1EoFIIKI7YuR2qL2PNdX68j3c+dGnaZbF7qpL6+nqGhoWvoMN1uN0NDQ0xPT6PX6wWx2uzsLCqVitraWhISEpicnOTKlStMTEws+pno6OioYCgwGo3odDpmZ2fxer0olUpqamqoq6ujt7f3m77Vew53bHCi0Sjj4+PY7XaWL1/OhQsX6O7uZnp6+qbkWRIkWtArV64QCARYtWqVKDHo7e3F4/FgtVoJhULk5uZSXV1NJBKhq6uLkZER8vLy2LRpE729vTQ2NuJ0Omlubsbj8ZCSksLg4CCjo6P4/X68Xi81NTUUFxdjt9u5ePEiDocDuVyO3W7noYceYu3atcB80pfFYuHcuXMoFAomJiZYvXo1ZrOZs2fP4vF4SEhIEHw/zz33HOXl5bhcLvr6+ujs7KSzs5O6ujo2bdrE6Ogox44dQ6VSkZKSwtDQEMFgkM2bN5Obm0tbWxstLS3k5+cTCAQYHh4mNTVVyIZ0dHQwODhIXV0daWlptLe3Mzg4iNlsZnx8nMHBQVavXk19fT2JiYl0d3fT09PD3Nwc09PTBAIBUlNTWbduHaWlpXdM8iQZQa1Wi0ajucbgGAwG0tLSuHz5MocPHxbaY3V1dcJNdjgcghNn1apVpKSk3NF93CvIz88nPj6e9957TzzfypUrycnJEYwBer3+vuT8uVvcsUsVCoUYHBzE6XSyfPlycnJy6O3tFdSan4dwOMz09DSHDx/mvffeY2Jigu7ubt5++20sFouQGGlrayM+Pp6uri727dsnGObeeOMNzp49i8lkIjk5GZPJRElJCcnJyVy6dIlf//rXAFRWVtLf38/f//3f09TUxNTUFPv37+fv/u7vuHz5Mk6nE5fLBXzGu7x//37ee+89KioqSExM5OrVq0xNTfHWW2/xT//0TzgcDpYtW8bp06d58803mZyc5IMPPuAnP/kJ1dXVyGQy/u3f/k0QlJ05c4a3334bn89HXV0dV69e5X/+z/9JR0cHc3NzvP7665w6dYrMzExMJhOvv/46v/zlLxkdHeXChQvs37+fwcFBfD4fn3zyCb/61a9oamoiMzMTi8XCb3/7Wzo6Oujt7eXf//3f6e3tJS8vD7/fT1dXFyaT6SvNJ0lJSWHbtm2UlZXx61//mtdee43KykqWL1+OUqnEarXywQcf8NOf/pQPPviA3t7eRV82Ul5ezuOPP87k5CQ/+tGPcDgcPPTQQ2RnZy9K3bGvE3fcC51OJyMjI6LzpKSkMDY2xsDAAMuWLfvcWY404sfHxwuScqvVytTUFBUVFRQUFJCTk8PExASRSISSkhJ0Oh3FxcXiuIGBAaqqqoTYmCS69/HHHzMzM0NZWRnZ2dmsXLmSpqYmzp49KwTYnE4nzz//vHBXJITDYWZmZujr66Orq0t8NAaDQVCabtq0ibS0NDZu3MiVK1ew2+0UFRXxrW99i8zMTLKysvD5fIyPj5OdnY1Go6GgoIB169aRn5+Px+Phr/7qr+jr6yMvLw+1Wk1NTQ2rVq2ioqICq9VKZ2cnc3NzpKSkoFAoiEajpKSkkJaWRmpqKmvWrGHTpk2Mj4/z3nvvYbFYcLlcDA4OUlJSQlFRERaLhc7OToLB4FcaUPd4PExOThIfH099fT3d3d288847ZGVlsXPnTsxmM//lv/wXVq9ezb59+2hubqahoYFHHnlk0aZGTE1NCSMzMDDAyZMnSUxMJCkpicLCwkX7XF8H7miGIwURR0dHRUahwWAgFArR3NzM5OTk5/4+Nq4A8wbIZDIhk8lEoNHpdJKamkpOTg4JCQkEAgEaGxsZHBzE7/dfQ4guxS8cDgfDw8OEQiHi4uJQq9WYTCbkcjmjo6NEIhGhaWUymTAYDGIpU4or7dmzhxUrVvB//+//5Sc/+QlDQ0PiflUqFRqNBrVajVqtFgTvJpMJn8/HsWPHRJvEcseoVCrUajUajYbs7GwSEhKuiW9JS6dGo1FoHV0f95JiTQqFQhC9SyTv0WgUo9GIXq9ncnKS4eFhrFYrqampQoL2qzA4kUiEzs5ODh8+TEpKCv/jf/wP/uRP/oTExETOnDmDxWJBLpcTFxdHfn4+a9euJTk5mampqUUbSPV6vfzud7/j8uXLPPLII/zlX/4ljz/+OE1NTbS2ti762dtXjTsyOFIMRq/Xs2vXLp5++mmeffZZampqsFgsDA4OEgwGb/l8CoWC7OxscnJyGBkZoaOjA7PZzK5du0hJSeHcuXMcPHgQpVIpZgWxJEdScFar1RIXF8fc3Bxzc3NC61qlUpGWliYCwAtlkkajUdxuNy6Xix/84Ac8//zz9PT08Prrr9/AhRwLr9fL+++/z5tvvklqaipFRUXodLprArjhcFgEla1WK1lZWWLWBp+RhXk8HmZnZykuLiY9Pf22RsqMjAyKi4tFvESv17Njxw7Kysq+shE3Go3idDpFwDgjI4OKigrKy8uFQKHH4xHBdGm1sqioaNHmpfj9fjGzT0xMJDc3l2XLlqHT6cRAuJhX4L5q3PZbDwaDjI2N0dzcTDQaxWQyoVarSUxMJC8vj9nZWZqamhgdHcXlcgnycqfTidfrJRAICHVCKYfB5XIxMjLC0NAQXq+XUCiEyWQiPj4en8+Hw+FgZGRExFw8Hg+jo6M4nU7i4+Nxu91C1XDTpk0YDAaxIjI2NkZqairr168H5l0An88nPgQJ0WgUu93OkSNH6O/vZ8uWLdTU1AimfUlxQKJxkJ7F6/XicDiYnJxkbm4Oh8OB2+2mr68Pu90udMp7e3vp6emht7eXnTt3Ul1djUajEYT0/f39tLW14fV62bx5MykpKeKaHo+Hubk5cU2fzyfuIxAI4Pf7haF3uVwEg0ESEhKIj48XBu9uPgKJrGxubg632y3URkOhEGlpaWRmZoogttPpRKVSUVJSQn9/Pz/96U85ffo0XV1dWCwWqqurqa6uXrSJnnFxcVRVVREKhRgZGWFychKHw0FdXZ0IzEt9XjK6Xq/3gdGd+iIo/uIv/uIvYjccOHCAwsJCysrKbpAejUQijI+P8/rrr3PkyBGi0Sh5eXmkpqbicDi4ePEizc3NTExMEAgE6OnpoampCYfDIQLDDocDhUKBw+EQSptpaWmkp6fT19fHJ598wvnz5zl69CgfffQRfr+fVatWYbfb6ejowGQyYTKZCIVClJWVYTQaxepMUVERK1euJCkpiaamJjo7O1EoFGzevJmysjJaW1v5+OOPsVqtGI1GysrKbtA+t9vtHDx4kOnpadLS0ti+fTtjY2McP34cl8tFQUEBdrudQ4cOYbPZqKqqoq6uju7ubtra2qipqREZqBkZGTQ2NtLc3MzFixeZmppi27ZtwqCMjY3x7rvv0tbWxuXLl0lISGDXrl1CsfPjjz+mr68PgLm5ORobG7FarcL9PHfuHMPDwyQnJ1NYWMjIyAinT5+moaGBkydP8u677zIzM0N+fv6CVAsSGbjX6xWCfQshEokwMDDAgQMHOHnyJNPT02i1WnJycsjOziY5OZmxsTFaWlpwOp3k5OSwefNmQqEQx44dY9++fYyPj7NmzRq2bduG0WgE7k1azXA4zKlTp6iuriY5OfmGNpPL5eTn5wsai5GREXQ6HTt37qSiooJoNMrFixc5ePAg/f39OJ1OjEYjGRkZ90WG9a0iEokIae4NGzZ85l0sxGm8fft2Hn/88QU5jcPh8DWp6nq9Xrg40uxBJpsXrpMyVGUymVBGkOIoCoWCQCAgtrW2ttLY2EhBQQHLly8XSp1Op5Pvfe97FBQUiJR6yQXR6XRCkxwQS5FSmn1sDEWpVIrZglROIeXtSM8WiUTEUrq0pKlWqwmHw7jdbqLRqNBTcrvdhMNh4uPjUSgUYrVLq9WKa7vdbv70T/8UpVLJD3/4Q0pKSjAYDOLcZ86c4Q//8A/5zne+w969ewUZt1KpJBQK4Xa7CQQCIsYjtZd0jCQ7I5PJ6Ozs5NixY+Tm5rJq1SoA3n33XYaHh3n66ad56KGHbjCut8JpLLVNKBQSUjcwr+sllaRI0s2xOVKx7SYpdkp95V52p/x+P3/913/Ns88+e1NO40gkgs/nIxAIiFikFFeTSM08Ho8I2Ett9SAVg35pnMYKhYL4+PgbRsObbb8VjI+P35BzEgwGSUlJISMjg6ysLBITE2/6sq7/kLRa7Q3bYP4j+byUerlcftNjrt92/flj9dQlQy19nGq1GqPRSGJi4jWuhBQ4NRgMJCUlXbOyJwmqxeL69HjpHmZnZ+nu7qa/v18oYEg5OAaDgczMzLtyYaQB42bvVzKI10MyPPcbZDLZTfuJNNhqNJoF9z3ouCOZmC8bRqORFStWMDU1xbvvvsvZs2dJTk7GbDazfPlyUlJSvvLR4cs+t9frpbOzk9nZWex2O1evXiUnJ0cUNU5OTgq98q6uLgYGBqioqBAj4e1Ap9NRV1fH4OAgx48fp7W1FbPZTFpaGuvWraOgoOCuA8dLH8tnWGqLO8cNvTASiTAzM8PExMTXVmAXjUbJycnhmWeeweVyCZcnPj4evV7P1NTU13IfXybC4TBms5k///M/JxKJkJSUxMzMDLOzs8B8AeD69etF8Dg+Ph6bzXZHJQjRaJTU1FS+/e1v43K5hNtlMBhEfpJ03et/Z7fbRdB7CYhFDKvVKtzlJdw+gsEgNpvthvSHG2I43/nOd7h69Somk+lrbWzpNq7XtVrMo8nNNIikfdL/v6xnvZNz2mw2gsEgJpNpQTfgQYMUIE9PTxez0SXcPiQ+rHXr1vHjH//45jEcnU7HD37wA3bt2rWoKQSW8MWIRqOcPHkSh8PB+vXrMZvN3/QtfeMIBAL85Cc/Ye/evRQVFS3NcO4QwWCQq1evcu7cuWu232BwJC6b5OTkJYNznyMajZKYmEg4HBZ1aQ86AoEAer0eo9EoylmWcPuQcsGuX5H8XIrRpenk/Y1Yb/pBWrK9FSx9A3eH2+I0vlcg5f1I2cdSfdTNIOXReDweIpEI8fHxN022is0t8Xq9qNVqtFqtyJ9ISEhYUq1YwhK+ZNyWwZES+UZGRuju7sbr9ZKRkUFpaSlGoxGbzUZPTw8TExPEx8dTUlJCVlbWHWVYSgl9XV1dHD16FK/Xy9NPP01FRcVNfxMIBOjo6OD999/HZrPx8ssvC8oI6Zw+n4+RkRHBr3vmzBn2798veGVOnTrF0aNHeeWVV9ixY8fSCBeDQCCA1WrF4/GQlpZGYmKiEDzr7+9ncHAQrVZLdXU1WVlZ2Gw2mpqasNls4hxSPdXatWvviu3xm0Y0GsXlcjE6OkpCQgJpaWkiMOpwOBgbG8PpdKLT6USmN4DVasViseB2uwV1iMTq+CDgtmc4kUgEl8vF+++/T39/P3v37iU/Px+YL+q8fPky+/fvZ+XKlWRnZ99VVbB0rf7+flEj9HlQqVQkJiYSCoWwWCw3HC9x3rz55ptotVqeeeYZUlJSRHV6YmIiqampXLlyBY/Hc8f3fb8hEokwMjLCsWPHaGxsJD09nSeffJKEhARmZma4cOECFy5cYGRkBIvFwvLly3nhhRew2+28/fbbyGQy4uPjCQaDTE1NYTabqauru2Y1bTEhEonQ1NTE4cOH6ezs5Mknn2T79u0olUpmZ2f5+OOPcTgc6PV6BgcHKSwsZMeOHQSDQY4ePUooFEKhUIhE182bN2M0GhdlW9wubtvg6HQ6ysrKyM3NFZXNaWlpKJVKMjMzKS4uxmQyUVBQQFFR0YIZv7cKrVZLZmYmZrN5wTyS6yGXy4mPj18wWAXzo2tCQgJbt24VnMpSrgrMcwgnJycvVfwuACl7W8oVkspLnE4nbrebdevW8cQTT3Do0CGOHDlCWVkZVVVVbN26lbq6OuLj47FarZw/f57k5OTPzRy/1yGTydDr9aJeUGImCAaDtLe3c+bMGerr61m1ahU+n48TJ06Qnp7OxMQE7e3t7Nmzh8LCQn72s59x6tQpcnNzqampeSB4dG67tAE+4xiWapUWEg+LTWCTKsT9fj8ajYa4uDhRfSzVJ2k0GlEXpFQqcblc+Hw+kQgI88l0UgdXqVSCoN3v9wu+X6l2KxQK4XQ6GR0dRaVSkZCQgE6nQ6PRUFZWRjQavYEn5vMCp1KH8ng8hEIhgsEgRqMRrVZLMBjE6/Xi9/uRy+WihCEYDOJ2u/H5fOh0OmEIF9uHJrlBtbW1tLa2ito1mUxGRkYG27dvF3VVEkXr3NwcBQUFFBcXo9frCYfD2Gw2NBoN1dXVi55+Mz8/n+XLl3Py5Emxze12c+XKFUGelpycTEFBAQcPHuTSpUui0DM5OZn09HQyMjI4fvw4IyMjVFRULBmcL4LH42FkZISenh6xfGixWEQNkUSuLlVLX758mcLCQp566inGx8f55S9/icPh4Hvf+x6rVq2isbERtVrNihUrePfdd2lpaaGqqkq4N1NTU5w4cYJjx45RW1vL9u3bmZubo729Hbfbjd1uZ/PmzQSDQSYnJ3njjTcYGhoiHA7z1FNP8cQTT2C1Wvn1r39NJBLhlVdeueVnjUQiNDY2cuLECfH3Sy+9xObNm2lqaqKlpYWhoSGcTicvvfQSubm5NDU10dHRwYkTJ6iqquKVV14hJydn0S21SoYhlhBMQmzdUDAYJBwOExcXJ4jGpOOnp6fp6OgQVeaL2dhIA+r1TIper5eBgQEUCoUgV09PTyccDosyl5qaGvR6PQqFQnA+S9nhDwLuyuDMzc3R29srqpdhXjZGMhB+v5/W1lYGBgbYvHkzOTk5nDhxgq6uLtatW8eaNWs4efKkmKofPnyYxMRESkpKqKysJDU1lYKCAs6dOydoO/V6PX/wB3/AmjVrmJiY4J133kGn0/HCCy8wNTWF3W4nHA6TkpLCk08+idls5vDhw7z//vtEIhFBNyHNVG4VoVCI119/Hbvdzo9+9CPWrl1LMBjk3LlzvPPOO3z3u9/liSee4I//+I/5j//4D+rr62lpaeE73/kOubm5/OY3v+HMmTPs3bv3vln9iv3YpMGlp6eHjIwMysvLxWzO5/MxNDSExWJhxYoVYmZ6v0GaVUv9SpoxBwIB7HY7Pp/vhixwqbL8dvriYsZdGZzU1FQ2bdpEfX29MDhqtZquri7xd0VFBampqfj9fqxWK7Ozs7jdbkFk1N7eLrh3o9Eo/f39HD16lMzMTDIyMsjIyBAjhFwup76+nrq6OpKTk/F6vSQlJXH27FlUKhVbtmwhLy+Prq4uEY8pLy8nEolw+fJlLly4wK5du9BqtbetYyWXyykuLmbfvn388z//Mw8//DBVVVX87Gc/Y2BggMnJSXw+H5s2bUKv11NVVUVOTo5wJWZmZrDZbPflSCaxFba2tmK329m9ezfZ2dli38zMDJ2dnSiVSkpLS+/bFRmJzkRy76X/lEoler3+Gvkh6f8SZe39aIAXwl0ZnFi+XslNiJ1mhkIhodao0+lEsA3mjVF1dTWNjY00NDTg9XqpqqriypUrnDp1ip07d1JZWSk4ayTSrubmZlauXElaWhomk4ndu3ej0Wg4ffo0ra2tbN++Hb/fD3xGq5CYmIjJZBJ8MneyRB+NRsW1PvroI/7mb/6GF198kba2NsLhMDk5OSQlJVFWVoZCoWBsbIxjx44JxYT71T+XUg26uroYGxtj3bp1LF++XGjJy2QyJiYmGB4eZvny5ZjN5vv249JqtUJh1uVy4ff7mZ6eRq1WU1ZWxsjIiIjpRSIRbDYbSqUSk8m0IL3H/YgvbahZKODqdDo5fvw4jY2Nwj1Sq9ViNiPxGDscDkKhEPX19VRUVAiqzPT0dMHBU1xczO7du3G73fz617+mv7+f4eFhpqenefzxx/mjP/oj4uLiOH/+PNPT04JQSyJLUiqVVFdX31FBnrScfunSJR566CF+/OMfk52dzccff4zBYMDhcNDf34/RaESpVOL1ejl69CgnT56ktLSU/Px8VCrVNcHt+wXBYJCuri7OnTuH0Whk5cqVzM7O0t7eztTUFDMzM0ISp7y8/L41vDDPa1RTUwPMF8VKeToGg4E1a9ZQWVkp6HZnZ2eZmJjAZDJhNpsfGINzR4l/AwMDjIyMMD4+Tnd3NxUVFSQnJ2O1Wunr62Nqaoq+vj4mJyeF6yN1yLm5OZEkVl1dTXFxMRs2bKCmpoaqqiqcTicTExOCHa+rq4uhoSFcLpeg/Hz77bf58Y9/zLp16+jt7aWsrIycnBxKSkpITEzE7/czNDTE2bNnARgZGaGmpoYtW7YwNTWF1WrFbrfT09OD3+9ncnKSgYEBrl69ytWrV/H5fPT19Ql6SMmYnjp1itHRUdauXUteXp4gDf/Xf/1X/vZv/5aWlhZUKhXV1dWkp6fjdrv56KOPBCFWe3s7Q0NDgvlusYz0klskkXwFAgH6+/vJyspieHiYV199latXr1JSUsLVq1dxu91kZmby6KOP0tbWxvHjx9m0aZMYQBY7JBHIzs5ObDYbvb29WCwWCgoKxErewMAAMplMiBWWl5eTkZGB1+ulvb2d8fFxAoEAK1euJDc3d9EtJNwp7ijxLxwOs27dOsrLy8nKyhJ5K4FAgNzcXJ5++mlMJhM6nY6tW7eKhpYSvsLhsMjMrKmpETzFKSkpbNiwgby8PFJSUgQN6MaNGwkGgxQVFZGenk52djbDw8Pk5OSQn58v6BUeffRRsrKycDqdFBQUiFlOUVERa9euJTExkZGRER577DF8Ph9xcXEYDAaeeeYZ4uPjRS7Rn/7pn1JYWHhNvCU5OZnnn39eZCnv2bOHkpISjEYjqampXL58mWAwSHl5OcuWLSMcDqPX63G73RQWFpKZmSnkXBbbRyeVgcTFxVFfX49MJhNFn1qtltraWrH6JpPJyMrKorKyEpPJhNVqpb6+noceeui+CZbD/HeQl5fHiy++SEZGhpB2NpvNfPvb3xZyRfX19eTn55Oeni6y7sfHx4lGo+zZs4fc3FxBMPcg4LY5jQHhqsBnS4Sxci3ScbGa4NKx1++T4iPSLOL6f8deK/Z812epXl9sJx0Tq2cunV8yJNK+2PNLzxCr2X39c0u/i/197Dmk7bFa49c/d+y9flO4HU5j6fjrn3MhVQipT0QiEcHvvFg4fW+F0zhWg17SH4tV3IwNGMfmpkn7Yr+H6/ffL/jSOI3hM1G2hfYvtALxeasS1zf09f9e6Fq3sspxs2MWuscvms5+0XPfbPv9Eq/4vOe/2TuXDG1sG9wvH1VscuvN9n/eb+/XVbpbwf3xRSzhnsP9YlyW8OXiwTW1S1jCEr523DDD8fv9vPHGG1y8ePG+cQmWcHNIaqcnTpy4RqbmQUUoFOL8+fOMjY2RlJS0NFO7Q0hiDGlpaddsv8GiKBQKKisrWbdu3RKp9n2OaDQqig2rq6uv0dZ6UCFRaKxfv/6u9bweZEhSyBMTE9dsv8HgKJVKqqqq2LJlyxKn8X0OaRXFbreLPJkHHYFAgIaGBtauXUtJScmSwblDhEIhIa0diwV9JmlJeMmlur8hLfEvve/PIJW+SCtyS21yZ5BWKa93SZeCxktYwhK+NtxRprHP58PtdhOJRERCj1T5CvOByKamJpRKJevXryc3N/eWcw8krtiOjg7GxsYoKyujvLx8aWp7D0BK5AuHw2g0GpRK5Q1k9HK5HIPBsKBksZSlHo1GFz0BF8y7DVKdnlqtFn08GAzi8/kElahWqxXfSSAQwO/3Ew6HUalUoh0Xe1vcKm67lsrlcnHhwgXefPNN7Ha7qAy2WCxUV1ezbds25ubmOHLkCHK5nJKSEnJycm75GuFwmIGBAd566y1GR0d5/vnnKSsru+0HW8KXB/EThpsAABeASURBVInQfmRkhNbWVgKBAOvWraOwsBCfz0dPTw+ffPIJFy5cQKFQ8Nhjj/HII4+QmJgIzH+YLpeL6elpZmZm0Ov1oqp+MSIajeJwOOju7ubixYvU1NSwcuVK4uLiCIVCtLS00NbWht1uR6FQCEnncDhMY2MjXV1dzM3NkZCQwJo1aygrK7srKt7FhNt2qQwGA+vWrSM3Nxe1Ws3KlSt58cUXMZvNvP/++5w+fVpQVvj9/tuujFYoFJjNZlFhfT/yxyw2RCIR+vv7+dWvfsU//uM/cv78ebxeL5FIhKmpKZqamlAoFOzevRuVSsVrr73GxYsXCYfDBINBBgYG+I//+A/+6Z/+icbGxkWfaRuNRmloaOD//J//wy9+8QuGh4fFzG1oaIj9+/cjk8nYsWMHPp+Pt956i56eHq5cucLRo0fJyspi586ddHV18cEHHzA2NnZXYgOLCXdU2qBUKkXtiEqlwmg0UlFRISgJvF7vHU8RpdTv2NqUJXyzkMvllJeX8+1vf5tgMHgNO51Wq6Wuro7U1FRMJhN6vZ5//dd/pbe3l9WrV3P16lXeffdd1Go1zz33HOXl5ej1+kVtdGQyGRs2bMDpdPLTn/5UDKoej4empiZGRkZYt24dmZmZlJSU0NjYSFNTk6BdycjIoKioCLPZTGtrK/39/WRnZz8QaSi3HcOJNQKSTz87O8vo6ChqtZq8vDzi4uLEMRIb3OjoKB0d/3975xbc1HW98Z9t3SVkSWDLSL7JFsY3DOaW2jQBApPQwYFmktLw0HSm7ZCHJh0607fOdJLXvHeazrSZPpAhMyFNJgkOgaRcRIAYsDA2Bsu2fMGSLNuSJVn3m/8P/M+pDYSbSQmyvxfwOcfnHO+z99p7rb3W9/XidrsxmUxs2bIFo9FIIpFgbGyMa9euMTQ0hFKppKamRpwx4vE4XV1dItXET37yE9asWYNCoRBJjLq7u5mYmCCRSFBaWsqmTZvIZDIMDg6KnDkNDQ2sX7+ecDhMT08P169fJ5VKsWPHDurr65/qAfBDQ9i1UalUKBQKIpGIeLyoqIjly5eLxZpqtRqdTodKpcLtdotyQgcOHKCqqgq5XP7UTyZ5eXnI5XI0Gs08tzASidDX10d+fj4GgwG1Wo3ZbCaRSHD16lUmJiaoqKhAo9GgVCoxmUxcunSJ6enpRbOSX9CeXzAYxG6343A46O3tpaGhgTVr1sz7CIlEArvdzo0bN9Dr9SQSCb766itmZ2fZunUrAwMDOBwOjEYjVquViYkJfD6fSNIVjUZxOp14vV4xGUvYqgyHw1y4cIELFy6wceNG5HI5Y2NjLF++nIGBAa5du8azzz6L0+nk448/JhaLiSTvBoOBzz77jKGhIf7yl7+g1+uf6kHwJDC3qHN2dpaZmRk8Hg9qtZry8nKGh4fp7u4mPz+fr7/+ms8//5yGhgZ2796NyWTKufZOJpOMj4+TzWbFYLCgUDI6OkosFsNqtYr9V6lUkslkHkhzLVewIIOj1WppaGigpKSE4eFhvvvuO0wm0x3qmCqVCqvVitlsJp1O09nZidPpxGg0ijGfF198EYPBQCqVwufzMTExIQaoTSYTL7zwAps2bZqn4plMJvF6vfT392OxWGhtbRVpHb/55htKSkooLy8nGAyKqx2z2Yxer0cul3PmzBlu3LiB3+9Hr9cvpCkWLebSyQ4MDDA4OMimTZswm82cPXsWiUTCjh07aGpqoqOjg/b2dmKxGG+88UbOBUoFKSHBxZpLSZFOp+eRq8/9dy6lS65jQX6EIJe7du1aXn/9ddRqNSdOnMDpdIoNKJPJKCsrQ6PRcO3aNbq6upieniaRSHD9+nWuXr1Kfn4+KpUKqVSKSqUSM5w9Hg8nTpwQ5WMkEsm8ZKLCwkI2btxIcXEx//jHP3j33XdF6lFBlqOnpwe1Ws3vfvc7tm3bRlVVFX6/n3PnzokkSYslYPdDIZvN4vV66e7uRq/Xs2fPHrRaLbFYDJVKRX19PevXr2fnzp3o9XrOnTsnKhjkEgT+bECMdcXjcVHQUavVzjM8iUQChUJxh2uWy1hw4EII8gp+eyKRmLc7FQqFOHnyJJ9++imJREKkI4VbwUhhlRIIBIBbHyEajYoia9u3b0cul3Po0CGcTue8Z8fjcQoKCnj99dc5ePAgyWSSv/71r1y/fp1oNEpBQQHbtm1j27ZtNDQ0EIvFeO+99+js7GTVqlU5rSDwv4JgbDo6OsjPz2fPnj0iz3NeXh6pVAqPxyMKBJpMppyt2dJoNNTX15NOp/H7/USjUdxuNzKZjE2bNlFVVUUoFBIJ1l0uF3K5nOLiYmQy2ZN+/f8JHjnxLx6PE41GCQQC+P1+uru7yWQyrF27luXLl5NKpUTFTZ/Ph9vtprKyUhT+8vl8rFmzhurqaq5cucLhw4dpbGwkGo0Sj8fx+/1IpVKam5uRy+W0t7dz+PBhXnvtNaqqqpDJZIRCIex2OyqViqamJnw+H6dOnaK8vJyqqiq+/fZbPvzwQ6qrq8WkNK/XC9wSLQuHw8zMzDAyMoLZbJ4X7F7CfyG4CpFIhFgsJn77VCrF1NQUx44dw263U1tby8jICHa7nVgsxvLly1GpVNhsNjZu3EggEEAmk4lSOk8zEomEGHsRVGV1Oh3Nzc3Y7XbcbjdjY2M4nU4qKytFKl2bzYbb7UYikTA9PU11dbWo7LEYUPD222+/PffA559/TlVVFatXr76DSV5I/Ovu7qajo4OpqSkA/H4/fr+furo6Nm/ezPT0NL29vSQSCSwWi+jGjI2NiXK7SqWSuro6cUa4du0a4+PjFBcXo9VquXHjBpOTk5SUlLB582YKCwvp6ekhFAphMpnQ6XTzdqk8Hg86nY5nnnmG5557DqvVKrpU4XAYq9VKXV0dUqmU7u5ustksRqOReDyOyWSisrLyqR8ED4vZ2VmGhoaIxWJUVFSwbNmy773O7XZz9uxZOjs7iUaj6HQ6iouLGR4e5rPPPmNgYIDR0VHsdjvDw8OYzWZaW1spLS0lEAgwOjpKPB7HYrHw05/+FK1W+6MMGmcyGWw2G42NjeLu2+3IZrMiObzb7UYqlVJcXCzK+6rVarxeL6Ojo6KWWn19PaWlpeTl5TEyMsLNmzdZvnw5W7ZsESfQH2N7PCqEle/g4CCtra2iy/jQnMYCh20ymSSbzc6TfxXyZ4Tzgn63oFEkFAsKVcpCSrcgETv3WDqdJpPJIJFIkEqlZLNZUqkU+fn589LIBZ1vwbUT3mFuGn5BQQFSqZSCggLS6TTJZFLcmk2n00ilUqRS6aJzrx6G01hof2E3RSaTiYmZiURiXhxMyM8SvpsQsxC+jzCb/xgH2INyGgt/t9C/hBgjIPZdAULe2u3nhP4+l3c7V/BYOY3vJ+wmCOTNxb2uv1vA7PbfF4zG3HcRVA1vv7fAOXs3eg1hIAhYDMlWC4VgzOfqiAt4kL5wt+/zNGNuXtLdzn1fm3zfuae9PR4GC0r8e9K4H1n1Eh4fltpzPh617y32drzD4GSzWdxuN319fTmXJ7GEO3Hz5k0CgQADAwPiTuFihhAIdzqdoru0hIdHOp0Wa8zm4g6DE4/HOXz4MMePH19q7EWAqakpUqkUR48eXXIvuTXhDgwMiPlbi31F8qgQYncbN26cd/wOg6NUKnnrrbdoa2tbohjNcczOznLq1Cmmp6fF2rbFjmQyybvvvssvfvELrFbr0qT7iEin0/T09HDy5Ml5x+8wOHl5echkMhQKxZLByXFks1lxt0lIVVjsEILccrkchUKxaPJjHjdSqdRdt/oX1z7wEpawhCeKx2q+M5kMsViMUChEJpOhsLCQZcuW3dcPnp2dJZFIEAwGicViaDQaDAbDgvJihHsGAgGkUimFhYVLs9USlvCE8dAjMJlMMjk5icfjIZvNotPpkMvlhMNhYrEYgUCA8+fPEwgEeOmll2htbb1vnUgmk2FsbIyjR49y5coVtm7dyv79+x85iClkRNvtdr788ktqa2vZs2fPUkX4I0Iw3j6fj2AwCNxiCphbAyRURPt8PkKhEKWlpTmbuS1QcUxNTZFMJsVMY7VaTSaTweVy4fF4SCQSAOh0OiwWy482u/p/iYfmNE4mk4yMjPD3v/8dj8fDnj17qK+vx+FwMDAwgMViIRgMMjk5STKZvOf9stks0WhUNFyzs7MMDg7S3Ny8oEpigUenv7+fS5cuicWiS3g0xGIxbDYb586dQ6vVEo/HAXjhhRdobm5GIpGQzWYZGRnh0KFDjI+P88c//pGampqcHGA+n49jx44RiURQKpU4HA4aGhrYvn07BQUFfPrpp1y8eBG4lWhaW1vLq6+++kCr/VzHQ69whELJmpoaUqkUNTU1tLS0sHr1as6fP08ymcTtdt83up9Kpejp6aGzsxOr1UpzczOFhYWPpbwgLy8PnU6H1WpFp9Mt+H6LHePj4xw/fpxAIMDBgweZnJzko48+4vTp09TV1aHRaAiFQthsNo4dO0ZlZWXOUU/MhUAYv2/fPurr6/nggw/46quvMBqNWCwW1Go1r7zyCnV1dahUKuRy+RLB2/9jQZzGQkRfIpFgMBhoaWlhenp6Ho2EQBMaDoeJRCLIZDJ0Op2oZ33ixAleffVVVq1aRSaTIZvNEgqFGBkZEWMvhYWFFBQUkEqlCIfDhMNh8vLyWLFiBUqlUqxmFs7Nzs6iVCrFeilBdUCoctZqteh0OrHEIZvNEolEiEajpNNpkTqzoKBAlMSJx+MolUqx4wjuYyKRwGAwiMvlXOxUQmzO7/czNTVFJpNBJpOhVCrJz88nHo8zODjI8PAwGo0mp2vSIpEIdrudeDxOYWEhWq2W1atXY7PZGBsbE1ktjUYjFRUV8+RycrFvPCweS2mDwN4fCoXm1Ypks1n8fj+Dg4P09vZy5coVVCoVL7/8Mmq1mr6+PkZGRrhx4wZlZWXMzMwQi8W4dOkSIyMjBINBNmzYwN69ezEajfT399PT0yNWgO/fv5+WlhbS6TRDQ0NcvXqVGzduEAwG2bx5M2azWXQDHQ4H7e3tuN1u2tra2LFjB0VFRWSzWaanp/nyyy9FXuTp6Wl+//vfo9Fo6OjowO12Mzg4iEql4rXXXkMqlXLx4kUcDgednZ3s2LGDX/3qVzlLb2EwGKitraWzs5P33nuPmpoaSkpKeOaZZ5BIJLhcLnp7e1EoFFRVVRGLxZ70K/9gSCQSzMzMEI1GxSxaYUKcmJggGAwyPT0tTph6vZ7i4uJFRbJ1Lyxo2yYej+NyuXA4HJw/f55UKsW6devE5XQqlaKrqwu73U5jYyNms5n29nbOnTtHW1sb5eXl6PV61q5dy4YNG7h58yZKpZLNmzfT1tbGmTNn+OSTT/B4PLS1tXHhwgUsFgt79uzhk08+ob29neLiYsbHxzl58iTPPfccO3fuxOVyEQqFxMpmwc2Ty+X86U9/or6+XlzdCK7dkSNH2Lt3L1u3buXcuXNMT09jt9v55ptvOHjwIHV1dfz5z39GKpWi0Wjo6enhnXfe4W9/+xv//ve/2bJlC42NjTk5i2m1WrZu3cro6Cjt7e04HA727dvHypUrCYfD9PX1EYlEqK6uZmJiQozx5CI0Gg0lJSV0dnbS1dWF2WwmHA6L8UqJREIqlcJms/HRRx+RTqfZtWsXe/fuxWQy5fTq70GwIIMj0FDE4/F5lBHizSUSGhoaKCsrI5lMcuXKFXw+HzqdjmQyKbogAm0BICo3VlVVIZVKcTqdOJ1OUqkUL730ErOzszgcDvx+PwqFgps3b3L+/HlGR0dZt26dyEmSTCa5fPkykUiEM2fO4Ha7+eUvf8maNWvm0ZQWFBSg0+mQSCQcOXKEeDzOli1bUKlUfPHFF8Tjcfr6+kilUuzcuROLxcKaNWtoaWnB6/Xi9/uJRCL4/f6cjVuMj49z9uxZFAoFf/jDH7h06RKnT59mxYoVNDU1MTAwQHV1NSUlJXz33XdP+nV/UEilUtra2vB6vfzrX/+io6ODTCbD5OQkOp2O6upq3nzzTaRSKR6Phw8//JD29nZKSkrYtWtXzq6CHxQLMjgqlYqKigqamprEpXQikZhHHh0KhUTSpkwmI2az3m9wFhQUoNFoxKBvNBqlt7eXqakpFAoFy5YtI5lMEg6HcblcxONxkZNFiC8JxgxgeHgYm83G+vXr522P5+fnU15ezm9+8xuRVfDChQvs3r0bj8dDaWkpFRUVyOVy1q9fj0Qiob+/n1OnTlFbW4tarRYlb3MRiUSCvr4+ent7qaur4+c//zmrVq3in//8JxcvXkSpVDI0NCQqbXR2dhKJRDh69CjZbPapVti8G/Ly8qirq+Ott95icHCQUChEe3u7GDAuLCwU+7hcLmfdunX09PTMc8EWMxa0vpsrWmcwGDCZTGg0GvF8LBbj8uXL2Gw28vLyRFa9ZDIprnCEHI9UKiVqTwvBYyGIazKZCAaDfP3110SjUaqqqtBoNCLxllarxePxcPr0aSYnJ3G5XAwNDZFMJkWhtpaWFr799ls++OADMZcEbrlbQmX8gQMH2L9/P+fPn8flcqFSqRgcHCQWi2EwGMhkMvj9fo4cOUJHRwcNDQ1i/ZHwrrlmeISAfCwWI51Oo1AoKCoqwmw2U1RUxIYNGzhw4AD79u2jtbWVyspKTCYT69aty1kXQiaTUV1dLaqISKVStm3bhtVqJRKJMDY2JtKOxmIxLBYLFotliX2BR0z8Gx8fF/WjxsbGCAQCGAwGstmsyHE8NTWF3+9HqVQSjUZxOBxkMhmCwSCBQICxsTEKCwtRqVT09PSwatUq0uk0+fn5jI6O4nA48Hq9GI1Gnn/+eQDOnj1Lf38/er2eQCDA1NQUoVCIxsZGurq6eP/99+nv72fZsmVIpVIUCgWBQIDy8nJaW1tJpVJ8/PHHaLVadu3axYoVK8hms4yPj3Px4kWeffZZSktLWbduHTU1NRQWFvL+++/zzjvvsGvXLgKBAA0NDeh0OrxeL5cuXcLv9xOPx7l69SrNzc0YjcZ5LtvTDrlcTlVVFUajEafTSVdXF8FgkKKiItauXYvFYkEmkxGLxRgfHxcnDoGZMRcxMzODy+Wip6cHm81GS0sLO3fuRKfTcfbsWf7zn/9QV1eH0WjE5/Oxe/dumpqa7iCVW4x4pMQ/r9crSr/ALUE8nU4nymJYLBZRArixsRGdTsfo6Cgmk4lXXnlF5CWuq6tDr9fj8/lIp9Ns2rQJtVpNOBxmZGSEoqIifvazn1FWVkYkEiGbzXL9+nX0ej0vv/wyLpeL6upqLBYLtbW1XLhwgUQiQUVFBdXV1QwODtLS0kJRURErV67kt7/9LWVlZYRCIcbHx0V9qg0bNpBIJJicnMRoNPLmm2+yfv16stksK1eu5PLly0SjUZ5//nnq6+tpamoSE+C2b9/OypUrF1yK8WOGxWLh17/+tcgdbTAYePHFF6murhZ1wgT6UcGFSqVSJBKJnMw2DgQCDA0NoVAoeOONN6isrBRF7axWKzdv3sTlcpGfn8/WrVuxWq052Q6PgofmNIZbwWLBfRBycYTBNtclKigoEDmOhWsFXmQhR2buOeFn+C9N6FxZWIEPVrhWmEmF+87lzhWeK3AlS6VScWDMzs7O4zCe+7tzc42EZwq5OUL+kcDvK1wnPGMuv/PTsMJ5WE7je30b4bzQVsK3f9qM8INwGgv9W+jHc/9GgQdG6JtCOzwN/eFx4rFyGguN+KDn7tXpbj93twDjvfiL7/W7d+NWnrvMn9sJbr/uXs8U+H2/77m51rlu30mce3zu/+/3fXIF92qLXHYlHwceqXc8Cc7WH3IQf9+9c81wLAT3a4vF1FZLnMWPjqdrvbuEJSzhqcZdOY0PHTqEzWZbFMvjxYzZ2VnGxsaIx+McP3580Selwa34zMWLF3E6neh0uqcuBvVjQTabZWZmBrPZPO/4HUHjjo4OvF7v0tJwkUBIlszVwtNHwdyNiSU8OvLz8ykrK6OhoeG/mym3Gxxh12gJS1jCEhYKwXALxvv/AIjAhbdRjAfyAAAAAElFTkSuQmCC)
The table above shows the masses, in kilograms (kg), in centimeters , of the largest known specimens massive types of turtles and tortoises. The mean mas turtles and tortoises is approximately . The ma Aldabra giant tortoise is closest to the mean mass. W following is true about the length of the Aldabra giar relation to the median length of the 9 turtles and tort
![](data:image/png;base64,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)
The table above shows the masses, in kilograms (kg), in centimeters , of the largest known specimens massive types of turtles and tortoises. The mean mas turtles and tortoises is approximately . The ma Aldabra giant tortoise is closest to the mean mass. W following is true about the length of the Aldabra giar relation to the median length of the 9 turtles and tort
![](data:image/png;base64,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)
For part of a trip, a car traveled directly away from its starting point at a constant speed. The graph shows the car's distance from its starting point, in miles, for times from 2.0 hours to 2.5 hours after the start of the trip. What was the speed of the car, in miles per hour, during this part of the trip?
Distance divided by time is the formula for speed. Both meters per second (m/s) and kilometers per hour (km/hr) are used to measure speed.
The amount of distance traveled at a given velocity is shown by a speed formula. The measurement of speed is the distance covered in a predetermined period. The car traveled directly away from its starting point at a constant speed can be determined by knowing the distance it traveled and the time it took. The time graph separation is a line graph that shows the results of the distance versus time analysis. It is easy to create a distance-time graph. To begin, take a piece of graph paper and draw two parallel lines that meet at the letter O. The X-axis is the horizontal line, and the Y-axis is the vertical line. A graphic that shows the distance traveled in a specified amount of time is known as a distance-time graph. In other words, it provides information regarding the vehicle's speed over a specific distance. The graph makes the numerical statistics for time and distance easier to interpret. The graph also shows how far the car has traveled at any given moment. Finding the changing speed at different distances can be done with the help of a distance-time graph.
![](data:image/png;base64,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)
For part of a trip, a car traveled directly away from its starting point at a constant speed. The graph shows the car's distance from its starting point, in miles, for times from 2.0 hours to 2.5 hours after the start of the trip. What was the speed of the car, in miles per hour, during this part of the trip?
Distance divided by time is the formula for speed. Both meters per second (m/s) and kilometers per hour (km/hr) are used to measure speed.
The amount of distance traveled at a given velocity is shown by a speed formula. The measurement of speed is the distance covered in a predetermined period. The car traveled directly away from its starting point at a constant speed can be determined by knowing the distance it traveled and the time it took. The time graph separation is a line graph that shows the results of the distance versus time analysis. It is easy to create a distance-time graph. To begin, take a piece of graph paper and draw two parallel lines that meet at the letter O. The X-axis is the horizontal line, and the Y-axis is the vertical line. A graphic that shows the distance traveled in a specified amount of time is known as a distance-time graph. In other words, it provides information regarding the vehicle's speed over a specific distance. The graph makes the numerical statistics for time and distance easier to interpret. The graph also shows how far the car has traveled at any given moment. Finding the changing speed at different distances can be done with the help of a distance-time graph.